It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 673 is not a prime number.
For example, 509 673 can be divided by 3: 509 673 / 3 = 169 891.
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For 509 673 to be a prime number, it would have been required that 509 673 has only two divisors, i.e., itself and 1.
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509 673 is an odd number, because it is not evenly divisible by 2.
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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 509 673 is about 713.914.
Thus, the square root of 509 673 is not an integer, and therefore 509 673 is not a square number.
The square of a number (here 509 673) is the result of the product of this number (509 673) by itself (i.e., 509 673 × 509 673); the square of 509 673 is sometimes called "raising 509 673 to the power 2", or "509 673 squared".
The square of 509 673 is 259 766 566 929 because 509 673 × 509 673 = 509 6732 = 259 766 566 929.
As a consequence, 509 673 is the square root of 259 766 566 929.
The multiples of 509 673 are all integers evenly divisible by 509 673, that is all numbers such that the remainder of the division by 509 673 is zero. There are infinitely many multiples of 509 673. The smallest multiples of 509 673 are: