It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 993 is not a prime number.
For example, 508 993 can be divided by 59: 508 993 / 59 = 8 627.
For 508 993 to be a prime number, it would have been required that 508 993 has only two divisors, i.e., itself and 1.
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508 993 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 508 993 is about 713.437.
Thus, the square root of 508 993 is not an integer, and therefore 508 993 is not a square number.
The square of a number (here 508 993) is the result of the product of this number (508 993) by itself (i.e., 508 993 × 508 993); the square of 508 993 is sometimes called "raising 508 993 to the power 2", or "508 993 squared".
The square of 508 993 is 259 073 874 049 because 508 993 × 508 993 = 508 9932 = 259 073 874 049.
As a consequence, 508 993 is the square root of 259 073 874 049.
The multiples of 508 993 are all integers evenly divisible by 508 993, that is all numbers such that the remainder of the division by 508 993 is zero. There are infinitely many multiples of 508 993. The smallest multiples of 508 993 are: