It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 507 122 is not a prime number.
For example, 507 122 can be divided by 2: 507 122 / 2 = 253 561.
For 507 122 to be a prime number, it would have been required that 507 122 has only two divisors, i.e., itself and 1.
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507 122 is an even number, because it is evenly divisible by 2: 507 122 / 2 = 253 561.
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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 507 122 is about 712.125.
Thus, the square root of 507 122 is not an integer, and therefore 507 122 is not a square number.
The square of a number (here 507 122) is the result of the product of this number (507 122) by itself (i.e., 507 122 × 507 122); the square of 507 122 is sometimes called "raising 507 122 to the power 2", or "507 122 squared".
The square of 507 122 is 257 172 722 884 because 507 122 × 507 122 = 507 1222 = 257 172 722 884.
As a consequence, 507 122 is the square root of 257 172 722 884.
The multiples of 507 122 are all integers evenly divisible by 507 122, that is all numbers such that the remainder of the division by 507 122 is zero. There are infinitely many multiples of 507 122. The smallest multiples of 507 122 are: