It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 104 is not a prime number.
For example, 509 104 can be divided by 2: 509 104 / 2 = 254 552.
For 509 104 to be a prime number, it would have been required that 509 104 has only two divisors, i.e., itself and 1.
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509 104 is an even number, because it is evenly divisible by 2: 509 104 / 2 = 254 552.
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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 509 104 is about 713.515.
Thus, the square root of 509 104 is not an integer, and therefore 509 104 is not a square number.
The square of a number (here 509 104) is the result of the product of this number (509 104) by itself (i.e., 509 104 × 509 104); the square of 509 104 is sometimes called "raising 509 104 to the power 2", or "509 104 squared".
The square of 509 104 is 259 186 882 816 because 509 104 × 509 104 = 509 1042 = 259 186 882 816.
As a consequence, 509 104 is the square root of 259 186 882 816.
The multiples of 509 104 are all integers evenly divisible by 509 104, that is all numbers such that the remainder of the division by 509 104 is zero. There are infinitely many multiples of 509 104. The smallest multiples of 509 104 are: