It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 701 is not a prime number.
For example, 508 701 can be divided by 3: 508 701 / 3 = 169 567.
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For 508 701 to be a prime number, it would have been required that 508 701 has only two divisors, i.e., itself and 1.
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508 701 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 508 701 is about 713.233.
Thus, the square root of 508 701 is not an integer, and therefore 508 701 is not a square number.
The square of a number (here 508 701) is the result of the product of this number (508 701) by itself (i.e., 508 701 × 508 701); the square of 508 701 is sometimes called "raising 508 701 to the power 2", or "508 701 squared".
The square of 508 701 is 258 776 707 401 because 508 701 × 508 701 = 508 7012 = 258 776 707 401.
As a consequence, 508 701 is the square root of 258 776 707 401.
The multiples of 508 701 are all integers evenly divisible by 508 701, that is all numbers such that the remainder of the division by 508 701 is zero. There are infinitely many multiples of 508 701. The smallest multiples of 508 701 are: