And considering that the figure in question may be the source of the name, yet is actually effectively a completely different figure entirely in terms of role and relationships, I don't really count that.
IOW, Job's Shaitan is not the same as Western Christianity/Civilizaton's Satan/Lucifer.
Well, there are several ideas of what Satan is but there is a notion that there are more than one in the OT and they're right.
Ha-Satan or Satan was an angel the most important and powerful one. The title was actually applied to many beings all of them called Satans as well, as in plural -- however there was one chief guy. However, for the purposes of the study, it is quite clear that the bible passages are dealing with the big kahuna. Basically, it's best to think of this as a state's attorney prosecuting for the crown, and there are many juniors working in partnership with the person who holds the title.
However, the fallen angel bit is an invention. It's not in the bible at all, the only thing that is mentioned is the fall of the king of Babylon and there is no distinction drawn that he is Satan. The term "the morning star" is used to describe how the great man has fallen, but there is no connection between the two other than what is in people's heads.
Modern Christian bibles have been re-written to demonize the Satan character in some degree, and aren't really authentic on a scholarly note.