It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 696 is not a prime number.
For example, 509 696 can be divided by 2: 509 696 / 2 = 254 848.
For 509 696 to be a prime number, it would have been required that 509 696 has only two divisors, i.e., itself and 1.
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509 696 is an even number, because it is evenly divisible by 2: 509 696 / 2 = 254 848.
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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 509 696 is about 713.930.
Thus, the square root of 509 696 is not an integer, and therefore 509 696 is not a square number.
The square of a number (here 509 696) is the result of the product of this number (509 696) by itself (i.e., 509 696 × 509 696); the square of 509 696 is sometimes called "raising 509 696 to the power 2", or "509 696 squared".
The square of 509 696 is 259 790 012 416 because 509 696 × 509 696 = 509 6962 = 259 790 012 416.
As a consequence, 509 696 is the square root of 259 790 012 416.
The multiples of 509 696 are all integers evenly divisible by 509 696, that is all numbers such that the remainder of the division by 509 696 is zero. There are infinitely many multiples of 509 696. The smallest multiples of 509 696 are: