Do you have alarms or anything of sort? (it might matter)
Disable all syncs, try to off (most) of those chat apps like wechat and line etc(go to settings>apps force stop), wechat in particular drains quite a lot.
I don't use stock but mine is close to it but I deleted lots of bloats from TB.
I only leave whatsapp on.
Infact, try out using Airplane, if even in airplane the battery still sucks, try reflashing everything using bootloader.
Device Name: Nexus Prime
ROM: Always changing
Other Device: Nexus S/ Nexus 5/ Nexus 10
ROM: CM11 / Velocity/ Rastakat or Liquidsmooth
Kernel: Trinity / Trinity / Trinity
Devices I meddled with(rough chronological order):
Google Nexus Prime(my new daily), Google Nexus 5(my girlfriend), Google Nexus 4(Sold), Samsung Nexus S(for everything else), Samsung Galaxy Note(sols), LG Optimus 4X(sold), HTC Sensation XE Pyramid(sold), Samsung Galaxy Wonder i8150(sold)