It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 125 729 is not a prime number.
For example, 125 729 can be divided by 59: 125 729 / 59 = 2 131.
For 125 729 to be a prime number, it would have been required that 125 729 has only two divisors, i.e., itself and 1.
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125 729 is an odd number, because it is not evenly divisible by 2.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 125 729 is about 354.583.
Thus, the square root of 125 729 is not an integer, and therefore 125 729 is not a square number.
The square of a number (here 125 729) is the result of the product of this number (125 729) by itself (i.e., 125 729 × 125 729); the square of 125 729 is sometimes called "raising 125 729 to the power 2", or "125 729 squared".
The square of 125 729 is 15 807 781 441 because 125 729 × 125 729 = 125 7292 = 15 807 781 441.
As a consequence, 125 729 is the square root of 15 807 781 441.
The multiples of 125 729 are all integers evenly divisible by 125 729, that is all numbers such that the remainder of the division by 125 729 is zero. There are infinitely many multiples of 125 729. The smallest multiples of 125 729 are: