Stat wise Izanagi-no-Okami is one if the most overpowered Personas in recent games. Easily overpowering Setanael and Messiah in terms of power and having access to skills of every element.
However, if you go back to Persona 2, Atlus decided to have a little fun and made that games variant of Lucifer super hard to unlock putting it behind a optional boss that was harder than any other fight (Aside from maybe Philemon) and required a lot of grinding to even summon. Lucifer in that game had a 99 in every stat, acess to some of the most broken skills in the game, and nulled or reflected almost every element, only taking a fraction of the damage from anything they didn't null/reflect.