It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 364 is not a prime number.
For example, 509 364 can be divided by 2: 509 364 / 2 = 254 682.
For 509 364 to be a prime number, it would have been required that 509 364 has only two divisors, i.e., itself and 1.
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509 364 is an even number, because it is evenly divisible by 2: 509 364 / 2 = 254 682.
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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 509 364 is about 713.697.
Thus, the square root of 509 364 is not an integer, and therefore 509 364 is not a square number.
The square of a number (here 509 364) is the result of the product of this number (509 364) by itself (i.e., 509 364 × 509 364); the square of 509 364 is sometimes called "raising 509 364 to the power 2", or "509 364 squared".
The square of 509 364 is 259 451 684 496 because 509 364 × 509 364 = 509 3642 = 259 451 684 496.
As a consequence, 509 364 is the square root of 259 451 684 496.
The multiples of 509 364 are all integers evenly divisible by 509 364, that is all numbers such that the remainder of the division by 509 364 is zero. There are infinitely many multiples of 509 364. The smallest multiples of 509 364 are: