It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 272 is not a prime number.
For example, 509 272 can be divided by 2: 509 272 / 2 = 254 636.
For 509 272 to be a prime number, it would have been required that 509 272 has only two divisors, i.e., itself and 1.
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509 272 is an even number, because it is evenly divisible by 2: 509 272 / 2 = 254 636.
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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 509 272 is about 713.633.
Thus, the square root of 509 272 is not an integer, and therefore 509 272 is not a square number.
The square of a number (here 509 272) is the result of the product of this number (509 272) by itself (i.e., 509 272 × 509 272); the square of 509 272 is sometimes called "raising 509 272 to the power 2", or "509 272 squared".
The square of 509 272 is 259 357 969 984 because 509 272 × 509 272 = 509 2722 = 259 357 969 984.
As a consequence, 509 272 is the square root of 259 357 969 984.
The multiples of 509 272 are all integers evenly divisible by 509 272, that is all numbers such that the remainder of the division by 509 272 is zero. There are infinitely many multiples of 509 272. The smallest multiples of 509 272 are: