It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 669 is not a prime number.
For example, 509 669 can be divided by 67: 509 669 / 67 = 7 607.
For 509 669 to be a prime number, it would have been required that 509 669 has only two divisors, i.e., itself and 1.
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509 669 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 509 669 is about 713.911.
Thus, the square root of 509 669 is not an integer, and therefore 509 669 is not a square number.
The square of a number (here 509 669) is the result of the product of this number (509 669) by itself (i.e., 509 669 × 509 669); the square of 509 669 is sometimes called "raising 509 669 to the power 2", or "509 669 squared".
The square of 509 669 is 259 762 489 561 because 509 669 × 509 669 = 509 6692 = 259 762 489 561.
As a consequence, 509 669 is the square root of 259 762 489 561.
The multiples of 509 669 are all integers evenly divisible by 509 669, that is all numbers such that the remainder of the division by 509 669 is zero. There are infinitely many multiples of 509 669. The smallest multiples of 509 669 are: