It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 267 is not a prime number.
For example, 508 267 can be divided by 109: 508 267 / 109 = 4 663.
For 508 267 to be a prime number, it would have been required that 508 267 has only two divisors, i.e., itself and 1.
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508 267 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 508 267 is about 712.928.
Thus, the square root of 508 267 is not an integer, and therefore 508 267 is not a square number.
The square of a number (here 508 267) is the result of the product of this number (508 267) by itself (i.e., 508 267 × 508 267); the square of 508 267 is sometimes called "raising 508 267 to the power 2", or "508 267 squared".
The square of 508 267 is 258 335 343 289 because 508 267 × 508 267 = 508 2672 = 258 335 343 289.
As a consequence, 508 267 is the square root of 258 335 343 289.
The multiples of 508 267 are all integers evenly divisible by 508 267, that is all numbers such that the remainder of the division by 508 267 is zero. There are infinitely many multiples of 508 267. The smallest multiples of 508 267 are: