It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 874 is not a prime number.
For example, 509 874 can be divided by 2: 509 874 / 2 = 254 937.
For 509 874 to be a prime number, it would have been required that 509 874 has only two divisors, i.e., itself and 1.
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509 874 is an even number, because it is evenly divisible by 2: 509 874 / 2 = 254 937.
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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 509 874 is about 714.055.
Thus, the square root of 509 874 is not an integer, and therefore 509 874 is not a square number.
The square of a number (here 509 874) is the result of the product of this number (509 874) by itself (i.e., 509 874 × 509 874); the square of 509 874 is sometimes called "raising 509 874 to the power 2", or "509 874 squared".
The square of 509 874 is 259 971 495 876 because 509 874 × 509 874 = 509 8742 = 259 971 495 876.
As a consequence, 509 874 is the square root of 259 971 495 876.
The multiples of 509 874 are all integers evenly divisible by 509 874, that is all numbers such that the remainder of the division by 509 874 is zero. There are infinitely many multiples of 509 874. The smallest multiples of 509 874 are: