It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 598 is not a prime number.
For example, 508 598 can be divided by 2: 508 598 / 2 = 254 299.
For 508 598 to be a prime number, it would have been required that 508 598 has only two divisors, i.e., itself and 1.
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508 598 is an even number, because it is evenly divisible by 2: 508 598 / 2 = 254 299.
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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 508 598 is about 713.161.
Thus, the square root of 508 598 is not an integer, and therefore 508 598 is not a square number.
The square of a number (here 508 598) is the result of the product of this number (508 598) by itself (i.e., 508 598 × 508 598); the square of 508 598 is sometimes called "raising 508 598 to the power 2", or "508 598 squared".
The square of 508 598 is 258 671 925 604 because 508 598 × 508 598 = 508 5982 = 258 671 925 604.
As a consequence, 508 598 is the square root of 258 671 925 604.
The multiples of 508 598 are all integers evenly divisible by 508 598, that is all numbers such that the remainder of the division by 508 598 is zero. There are infinitely many multiples of 508 598. The smallest multiples of 508 598 are: