It is special at least.
I made a 64 x 64 square.
Not with compex propertys, according to the rules of magic squares.
But ...
I think is very special, because it contains 3 squares in one!
64 x 64
Contains the numbers 1 - 4096, each ones
The sum of de rows, culumn and all diagonals is 131104
In de center there is another square
16 x 16
Contains the numbers 1 -256
The sum of de rows, culumn and all diagonals is 2056
And in de center of this 16 x 16 square is even a smaller one
4 x 4
Contains the numbers 1 -16
The sum of de rows, culumn and all diagonals is 34
Just look at it.