It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 258 is not a prime number.
For example, 508 258 can be divided by 2: 508 258 / 2 = 254 129.
For 508 258 to be a prime number, it would have been required that 508 258 has only two divisors, i.e., itself and 1.
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508 258 is an even number, because it is evenly divisible by 2: 508 258 / 2 = 254 129.
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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 508 258 is about 712.922.
Thus, the square root of 508 258 is not an integer, and therefore 508 258 is not a square number.
The square of a number (here 508 258) is the result of the product of this number (508 258) by itself (i.e., 508 258 × 508 258); the square of 508 258 is sometimes called "raising 508 258 to the power 2", or "508 258 squared".
The square of 508 258 is 258 326 194 564 because 508 258 × 508 258 = 508 2582 = 258 326 194 564.
As a consequence, 508 258 is the square root of 258 326 194 564.
The multiples of 508 258 are all integers evenly divisible by 508 258, that is all numbers such that the remainder of the division by 508 258 is zero. There are infinitely many multiples of 508 258. The smallest multiples of 508 258 are: