It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 908 is not a prime number.
For example, 509 908 can be divided by 2: 509 908 / 2 = 254 954.
For 509 908 to be a prime number, it would have been required that 509 908 has only two divisors, i.e., itself and 1.
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509 908 is an even number, because it is evenly divisible by 2: 509 908 / 2 = 254 954.
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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 509 908 is about 714.078.
Thus, the square root of 509 908 is not an integer, and therefore 509 908 is not a square number.
The square of a number (here 509 908) is the result of the product of this number (509 908) by itself (i.e., 509 908 × 509 908); the square of 509 908 is sometimes called "raising 509 908 to the power 2", or "509 908 squared".
The square of 509 908 is 260 006 168 464 because 509 908 × 509 908 = 509 9082 = 260 006 168 464.
As a consequence, 509 908 is the square root of 260 006 168 464.
The multiples of 509 908 are all integers evenly divisible by 509 908, that is all numbers such that the remainder of the division by 509 908 is zero. There are infinitely many multiples of 509 908. The smallest multiples of 509 908 are: