It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 122 is not a prime number.
For example, 513 122 can be divided by 2: 513 122 / 2 = 256 561.
For 513 122 to be a prime number, it would have been required that 513 122 has only two divisors, i.e., itself and 1.
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513 122 is an even number, because it is evenly divisible by 2: 513 122 / 2 = 256 561.
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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 513 122 is about 716.325.
Thus, the square root of 513 122 is not an integer, and therefore 513 122 is not a square number.
The square of a number (here 513 122) is the result of the product of this number (513 122) by itself (i.e., 513 122 × 513 122); the square of 513 122 is sometimes called "raising 513 122 to the power 2", or "513 122 squared".
The square of 513 122 is 263 294 186 884 because 513 122 × 513 122 = 513 1222 = 263 294 186 884.
As a consequence, 513 122 is the square root of 263 294 186 884.
The multiples of 513 122 are all integers evenly divisible by 513 122, that is all numbers such that the remainder of the division by 513 122 is zero. There are infinitely many multiples of 513 122. The smallest multiples of 513 122 are: