It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 522 is not a prime number.
For example, 509 522 can be divided by 2: 509 522 / 2 = 254 761.
For 509 522 to be a prime number, it would have been required that 509 522 has only two divisors, i.e., itself and 1.
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509 522 is an even number, because it is evenly divisible by 2: 509 522 / 2 = 254 761.
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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 509 522 is about 713.808.
Thus, the square root of 509 522 is not an integer, and therefore 509 522 is not a square number.
The square of a number (here 509 522) is the result of the product of this number (509 522) by itself (i.e., 509 522 × 509 522); the square of 509 522 is sometimes called "raising 509 522 to the power 2", or "509 522 squared".
The square of 509 522 is 259 612 668 484 because 509 522 × 509 522 = 509 5222 = 259 612 668 484.
As a consequence, 509 522 is the square root of 259 612 668 484.
The multiples of 509 522 are all integers evenly divisible by 509 522, that is all numbers such that the remainder of the division by 509 522 is zero. There are infinitely many multiples of 509 522. The smallest multiples of 509 522 are: