It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 316 is not a prime number.
For example, 509 316 can be divided by 2: 509 316 / 2 = 254 658.
For 509 316 to be a prime number, it would have been required that 509 316 has only two divisors, i.e., itself and 1.
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509 316 is an even number, because it is evenly divisible by 2: 509 316 / 2 = 254 658.
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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 509 316 is about 713.664.
Thus, the square root of 509 316 is not an integer, and therefore 509 316 is not a square number.
The square of a number (here 509 316) is the result of the product of this number (509 316) by itself (i.e., 509 316 × 509 316); the square of 509 316 is sometimes called "raising 509 316 to the power 2", or "509 316 squared".
The square of 509 316 is 259 402 787 856 because 509 316 × 509 316 = 509 3162 = 259 402 787 856.
As a consequence, 509 316 is the square root of 259 402 787 856.
The multiples of 509 316 are all integers evenly divisible by 509 316, that is all numbers such that the remainder of the division by 509 316 is zero. There are infinitely many multiples of 509 316. The smallest multiples of 509 316 are: