Answer by taking a quote from the following article:

Drusilla, or Dru, is a fictional character created by Joss Whedon and David Greenwalt for the American television series, Buffy the Vampire Slayer and Angel. The character is portrayed by American actress Juliet Landau. Drusilla is introduced alongside her lover Spike (James Marsters) in the second season of Buffy the Vampire Slayer to serve as new antagonists to the series' heroine, vampire Slayer Buffy Summers (Sarah Michelle Gellar) and alongside Darla (Julie Benz) and Wolfram & Hart as the main antagonist of the second season of Angel. In contrast to the series' previous central villain, the ancient and ceremonious Master (Mark Metcalf), Spike and Dru were introduced as a more unconventional but equally dangerous pair of vampires.

Drusilla has all the standard powers and vulnerabilities of a vampire, plus minor psychic abilities. She is immortal, regenerates damage, drains human blood to survive, and is stronger than most humans. Drusilla's technique in combat, although awkward-looking, has allowed her to briefly hold her own in a fight against Angel (in "Reunion") and Spike (in "Becoming, Part Two"), along with besting Kendra the Vampire Slayer (in "Becoming, Part One") before using the hypnosis technique and then killing her. It was also in this fight with Kendra that Drusilla showed that her fingernails are sharper than one would normally expect, as she uses them to slit Kendra's throat. Darla had demonstrated a similar technique when she sired Angel; whether this is due to vampiric abilities or physical manipulation of nails is unclear.  Drusilla is also a seer with minor psychic abilities. However, since she had these before becoming a vampire their source and cause are unknown. She receives vivid visions that contain possible glimpses of the future, and can also see into people's minds and project false imagery into them (e.g. in "Becoming, Part Two", when she convinces Giles that she is really Jenny Calendar). She is also capable of hypnotizing people, which she does by catching their gazes, pointing her fingers towards her victim's eyes and then to her own, whispering to them ("Be in my eyes, Be in me"). Drusilla uses this technique to murder Kendra in the episode "Becoming, Part One". The Master uses a similar skill to paralyze Buffy in "Prophecy Girl".  Like all vampires, she is vulnerable to holy items and sunlight, can be killed by decapitation or a stake to the heart, and cannot enter the home of a living human without first being invited by someone who lives there.

what powers does drusilla have?
Drusilla has all the standard powers and vulnerabilities of a vampire, plus minor psychic abilities.