It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 628 is not a prime number.
For example, 509 628 can be divided by 2: 509 628 / 2 = 254 814.
For 509 628 to be a prime number, it would have been required that 509 628 has only two divisors, i.e., itself and 1.
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509 628 is an even number, because it is evenly divisible by 2: 509 628 / 2 = 254 814.
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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 509 628 is about 713.882.
Thus, the square root of 509 628 is not an integer, and therefore 509 628 is not a square number.
The square of a number (here 509 628) is the result of the product of this number (509 628) by itself (i.e., 509 628 × 509 628); the square of 509 628 is sometimes called "raising 509 628 to the power 2", or "509 628 squared".
The square of 509 628 is 259 720 698 384 because 509 628 × 509 628 = 509 6282 = 259 720 698 384.
As a consequence, 509 628 is the square root of 259 720 698 384.
The multiples of 509 628 are all integers evenly divisible by 509 628, that is all numbers such that the remainder of the division by 509 628 is zero. There are infinitely many multiples of 509 628. The smallest multiples of 509 628 are: