It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 374 is not a prime number.
For example, 509 374 can be divided by 2: 509 374 / 2 = 254 687.
For 509 374 to be a prime number, it would have been required that 509 374 has only two divisors, i.e., itself and 1.
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509 374 is an even number, because it is evenly divisible by 2: 509 374 / 2 = 254 687.
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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 509 374 is about 713.704.
Thus, the square root of 509 374 is not an integer, and therefore 509 374 is not a square number.
The square of a number (here 509 374) is the result of the product of this number (509 374) by itself (i.e., 509 374 × 509 374); the square of 509 374 is sometimes called "raising 509 374 to the power 2", or "509 374 squared".
The square of 509 374 is 259 461 871 876 because 509 374 × 509 374 = 509 3742 = 259 461 871 876.
As a consequence, 509 374 is the square root of 259 461 871 876.
The multiples of 509 374 are all integers evenly divisible by 509 374, that is all numbers such that the remainder of the division by 509 374 is zero. There are infinitely many multiples of 509 374. The smallest multiples of 509 374 are: