It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 5 370 509 is not a prime number.
For example, 5 370 509 can be divided by 223: 5 370 509 / 223 = 24 083.
For 5 370 509 to be a prime number, it would have been required that 5 370 509 has only two divisors, i.e., itself and 1.
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5 370 509 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 5 370 509 is about 2 317.436.
Thus, the square root of 5 370 509 is not an integer, and therefore 5 370 509 is not a square number.
The square of a number (here 5 370 509) is the result of the product of this number (5 370 509) by itself (i.e., 5 370 509 × 5 370 509); the square of 5 370 509 is sometimes called "raising 5 370 509 to the power 2", or "5 370 509 squared".
The square of 5 370 509 is 28 842 366 919 081 because 5 370 509 × 5 370 509 = 5 370 5092 = 28 842 366 919 081.
As a consequence, 5 370 509 is the square root of 28 842 366 919 081.
The multiples of 5 370 509 are all integers evenly divisible by 5 370 509, that is all numbers such that the remainder of the division by 5 370 509 is zero. There are infinitely many multiples of 5 370 509. The smallest multiples of 5 370 509 are: