It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 132 is not a prime number.
For example, 509 132 can be divided by 2: 509 132 / 2 = 254 566.
For 509 132 to be a prime number, it would have been required that 509 132 has only two divisors, i.e., itself and 1.
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509 132 is an even number, because it is evenly divisible by 2: 509 132 / 2 = 254 566.
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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 509 132 is about 713.535.
Thus, the square root of 509 132 is not an integer, and therefore 509 132 is not a square number.
The square of a number (here 509 132) is the result of the product of this number (509 132) by itself (i.e., 509 132 × 509 132); the square of 509 132 is sometimes called "raising 509 132 to the power 2", or "509 132 squared".
The square of 509 132 is 259 215 393 424 because 509 132 × 509 132 = 509 1322 = 259 215 393 424.
As a consequence, 509 132 is the square root of 259 215 393 424.
The multiples of 509 132 are all integers evenly divisible by 509 132, that is all numbers such that the remainder of the division by 509 132 is zero. There are infinitely many multiples of 509 132. The smallest multiples of 509 132 are: