It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 589 is not a prime number.
For example, 508 589 can be divided by 17: 508 589 / 17 = 29 917.
For 508 589 to be a prime number, it would have been required that 508 589 has only two divisors, i.e., itself and 1.
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508 589 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 508 589 is about 713.154.
Thus, the square root of 508 589 is not an integer, and therefore 508 589 is not a square number.
The square of a number (here 508 589) is the result of the product of this number (508 589) by itself (i.e., 508 589 × 508 589); the square of 508 589 is sometimes called "raising 508 589 to the power 2", or "508 589 squared".
The square of 508 589 is 258 662 770 921 because 508 589 × 508 589 = 508 5892 = 258 662 770 921.
As a consequence, 508 589 is the square root of 258 662 770 921.
The multiples of 508 589 are all integers evenly divisible by 508 589, that is all numbers such that the remainder of the division by 508 589 is zero. There are infinitely many multiples of 508 589. The smallest multiples of 508 589 are: