It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 591 is not a prime number.
For example, 508 591 can be divided by 73: 508 591 / 73 = 6 967.
For 508 591 to be a prime number, it would have been required that 508 591 has only two divisors, i.e., itself and 1.
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508 591 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 508 591 is about 713.156.
Thus, the square root of 508 591 is not an integer, and therefore 508 591 is not a square number.
The square of a number (here 508 591) is the result of the product of this number (508 591) by itself (i.e., 508 591 × 508 591); the square of 508 591 is sometimes called "raising 508 591 to the power 2", or "508 591 squared".
The square of 508 591 is 258 664 805 281 because 508 591 × 508 591 = 508 5912 = 258 664 805 281.
As a consequence, 508 591 is the square root of 258 664 805 281.
The multiples of 508 591 are all integers evenly divisible by 508 591, that is all numbers such that the remainder of the division by 508 591 is zero. There are infinitely many multiples of 508 591. The smallest multiples of 508 591 are: