It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 122 is not a prime number.
For example, 509 122 can be divided by 2: 509 122 / 2 = 254 561.
For 509 122 to be a prime number, it would have been required that 509 122 has only two divisors, i.e., itself and 1.
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509 122 is an even number, because it is evenly divisible by 2: 509 122 / 2 = 254 561.
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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 509 122 is about 713.528.
Thus, the square root of 509 122 is not an integer, and therefore 509 122 is not a square number.
The square of a number (here 509 122) is the result of the product of this number (509 122) by itself (i.e., 509 122 × 509 122); the square of 509 122 is sometimes called "raising 509 122 to the power 2", or "509 122 squared".
The square of 509 122 is 259 205 210 884 because 509 122 × 509 122 = 509 1222 = 259 205 210 884.
As a consequence, 509 122 is the square root of 259 205 210 884.
The multiples of 509 122 are all integers evenly divisible by 509 122, that is all numbers such that the remainder of the division by 509 122 is zero. There are infinitely many multiples of 509 122. The smallest multiples of 509 122 are: