It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 623 is not a prime number.
For example, 508 623 can be divided by 3: 508 623 / 3 = 169 541.
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For 508 623 to be a prime number, it would have been required that 508 623 has only two divisors, i.e., itself and 1.
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508 623 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 508 623 is about 713.178.
Thus, the square root of 508 623 is not an integer, and therefore 508 623 is not a square number.
The square of a number (here 508 623) is the result of the product of this number (508 623) by itself (i.e., 508 623 × 508 623); the square of 508 623 is sometimes called "raising 508 623 to the power 2", or "508 623 squared".
The square of 508 623 is 258 697 356 129 because 508 623 × 508 623 = 508 6232 = 258 697 356 129.
As a consequence, 508 623 is the square root of 258 697 356 129.
The multiples of 508 623 are all integers evenly divisible by 508 623, that is all numbers such that the remainder of the division by 508 623 is zero. There are infinitely many multiples of 508 623. The smallest multiples of 508 623 are: