EXCLUSIVEKaty Perry has finally divorced the house she shared with Russell Brand ... and this time she got taken to the cleaners.
Katy bought the pad in 2011 for $6.5 million -- listed it in early 2013 asking around $8 mil but there were no takers.
Fast forward to December 31 ... our sources say the house was finally sold for $5.65.
After brokers fees ... Katy lost more than a million bucks.
The guy who bought it plans to gut the 8,800 sq. foot Hollywood Hills home.
Out with the old ...