I used a calculator and just guessed the number (using exponential math estimation) and it comes down to 125*125=15,625.
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15625 x 64 = 1000000
If by "cube of 15625," you mean 156253, then you would multiply 15625*15625*15625. If you have to do this by hand, then first multiply 15625*15625, and then multiply the product of that by 15625 again. Follow the multi-digit multiplication rules, look it up if you don't know them.
It is a square of that factor. E.g. 5 is a distinct factor of 25. If you multiply that distinct factor by itself (5*5) you get 25. A square comes from the x^2 notation and is any number which has a factor which is multiplied by itself.
253 = 15625
1000000 = 106 = (2*5)6 = 26*56 = 64*15625