It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 350 509 is not a prime number.
For example, 350 509 can be divided by 41: 350 509 / 41 = 8 549.
For 350 509 to be a prime number, it would have been required that 350 509 has only two divisors, i.e., itself and 1.
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350 509 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 350 509 is about 592.038.
Thus, the square root of 350 509 is not an integer, and therefore 350 509 is not a square number.
The square of a number (here 350 509) is the result of the product of this number (350 509) by itself (i.e., 350 509 × 350 509); the square of 350 509 is sometimes called "raising 350 509 to the power 2", or "350 509 squared".
The square of 350 509 is 122 856 559 081 because 350 509 × 350 509 = 350 5092 = 122 856 559 081.
As a consequence, 350 509 is the square root of 122 856 559 081.
The multiples of 350 509 are all integers evenly divisible by 350 509, that is all numbers such that the remainder of the division by 350 509 is zero. There are infinitely many multiples of 350 509. The smallest multiples of 350 509 are: