It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 232 is not a prime number.
For example, 509 232 can be divided by 2: 509 232 / 2 = 254 616.
For 509 232 to be a prime number, it would have been required that 509 232 has only two divisors, i.e., itself and 1.
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509 232 is an even number, because it is evenly divisible by 2: 509 232 / 2 = 254 616.
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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 509 232 is about 713.605.
Thus, the square root of 509 232 is not an integer, and therefore 509 232 is not a square number.
The square of a number (here 509 232) is the result of the product of this number (509 232) by itself (i.e., 509 232 × 509 232); the square of 509 232 is sometimes called "raising 509 232 to the power 2", or "509 232 squared".
The square of 509 232 is 259 317 229 824 because 509 232 × 509 232 = 509 2322 = 259 317 229 824.
As a consequence, 509 232 is the square root of 259 317 229 824.
The multiples of 509 232 are all integers evenly divisible by 509 232, that is all numbers such that the remainder of the division by 509 232 is zero. There are infinitely many multiples of 509 232. The smallest multiples of 509 232 are: