I tend to be hesitant about posting an ID for "oddball" bullets like yours, because examining such a bullet in real-life is far superior than making a guess based on photos. (Even photos as well-done as yours.)
That being said... because your .527-inch-diameter minie has what seems to be a typical conical cavity, and (especially) its base-rim is "unusually" thick and is ROUNDED-EDGED, I think it is what we civil war bullet diggers call a "cut-off" bullet. In other words, I think your bullet originally had the usual three grooves/rings, and a soldier very precisely "shaved off" the lowest of the three grooves. Think about it. If that's what a soldier did to a 3-groove minie, what would the result of his carving look like? Missing its lowest groove section, the minie's base would look "unusually" thick.