It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 632 is not a prime number.
For example, 509 632 can be divided by 2: 509 632 / 2 = 254 816.
For 509 632 to be a prime number, it would have been required that 509 632 has only two divisors, i.e., itself and 1.
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509 632 is an even number, because it is evenly divisible by 2: 509 632 / 2 = 254 816.
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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 509 632 is about 713.885.
Thus, the square root of 509 632 is not an integer, and therefore 509 632 is not a square number.
The square of a number (here 509 632) is the result of the product of this number (509 632) by itself (i.e., 509 632 × 509 632); the square of 509 632 is sometimes called "raising 509 632 to the power 2", or "509 632 squared".
The square of 509 632 is 259 724 775 424 because 509 632 × 509 632 = 509 6322 = 259 724 775 424.
As a consequence, 509 632 is the square root of 259 724 775 424.
The multiples of 509 632 are all integers evenly divisible by 509 632, that is all numbers such that the remainder of the division by 509 632 is zero. There are infinitely many multiples of 509 632. The smallest multiples of 509 632 are: