It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 658 is not a prime number.
For example, 508 658 can be divided by 2: 508 658 / 2 = 254 329.
For 508 658 to be a prime number, it would have been required that 508 658 has only two divisors, i.e., itself and 1.
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508 658 is an even number, because it is evenly divisible by 2: 508 658 / 2 = 254 329.
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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 508 658 is about 713.203.
Thus, the square root of 508 658 is not an integer, and therefore 508 658 is not a square number.
The square of a number (here 508 658) is the result of the product of this number (508 658) by itself (i.e., 508 658 × 508 658); the square of 508 658 is sometimes called "raising 508 658 to the power 2", or "508 658 squared".
The square of 508 658 is 258 732 960 964 because 508 658 × 508 658 = 508 6582 = 258 732 960 964.
As a consequence, 508 658 is the square root of 258 732 960 964.
The multiples of 508 658 are all integers evenly divisible by 508 658, that is all numbers such that the remainder of the division by 508 658 is zero. There are infinitely many multiples of 508 658. The smallest multiples of 508 658 are: