It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 764 is not a prime number.
For example, 509 764 can be divided by 2: 509 764 / 2 = 254 882.
For 509 764 to be a prime number, it would have been required that 509 764 has only two divisors, i.e., itself and 1.
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509 764 is an even number, because it is evenly divisible by 2: 509 764 / 2 = 254 882.
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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 509 764 is about 713.978.
Thus, the square root of 509 764 is not an integer, and therefore 509 764 is not a square number.
The square of a number (here 509 764) is the result of the product of this number (509 764) by itself (i.e., 509 764 × 509 764); the square of 509 764 is sometimes called "raising 509 764 to the power 2", or "509 764 squared".
The square of 509 764 is 259 859 335 696 because 509 764 × 509 764 = 509 7642 = 259 859 335 696.
As a consequence, 509 764 is the square root of 259 859 335 696.
The multiples of 509 764 are all integers evenly divisible by 509 764, that is all numbers such that the remainder of the division by 509 764 is zero. There are infinitely many multiples of 509 764. The smallest multiples of 509 764 are: