Taken from Wikipedia:
"The series centers on Light Yagami, a high school student who discovers a supernatural notebook, the titular "Death Note", dropped on Earth by a Shinigami (death god) named Ryuk. The Death Note grants its user the ability to kill anyone whose face they have seen, by writing the victim's name in the notebook with a picture of the victim in his mind, due to that there is the possibility of several people having the same name. The story follows Light's attempt to create and rule a world cleansed of evil using the notebook, and the complex conflict between him and his opponents."
I think this description already says a lot about this. It's not a mindless story. It's a psychological battle and very interesting. You always keep wondering. It has amazing twists and clever situations. Keeps you in suspense.
I was watching and reading it before it became popular, so no I'm not one of those people who followed after because everyone else is watching it... I found it very good. One of my favorite anime/manga. Watch a few episodes... It's pretty much good from the start, imo, doesn't take long to get into it. So you'll know early on if you like it. So I hope that convince you to at least give it a try...