It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 816 is not a prime number.
For example, 509 816 can be divided by 2: 509 816 / 2 = 254 908.
For 509 816 to be a prime number, it would have been required that 509 816 has only two divisors, i.e., itself and 1.
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509 816 is an even number, because it is evenly divisible by 2: 509 816 / 2 = 254 908.
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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 509 816 is about 714.014.
Thus, the square root of 509 816 is not an integer, and therefore 509 816 is not a square number.
The square of a number (here 509 816) is the result of the product of this number (509 816) by itself (i.e., 509 816 × 509 816); the square of 509 816 is sometimes called "raising 509 816 to the power 2", or "509 816 squared".
The square of 509 816 is 259 912 353 856 because 509 816 × 509 816 = 509 8162 = 259 912 353 856.
As a consequence, 509 816 is the square root of 259 912 353 856.
The multiples of 509 816 are all integers evenly divisible by 509 816, that is all numbers such that the remainder of the division by 509 816 is zero. There are infinitely many multiples of 509 816. The smallest multiples of 509 816 are: