It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 5 629 409 is not a prime number.
For example, 5 629 409 can be divided by 293: 5 629 409 / 293 = 19 213.
For 5 629 409 to be a prime number, it would have been required that 5 629 409 has only two divisors, i.e., itself and 1.
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5 629 409 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 5 629 409 is about 2 372.638.
Thus, the square root of 5 629 409 is not an integer, and therefore 5 629 409 is not a square number.
The square of a number (here 5 629 409) is the result of the product of this number (5 629 409) by itself (i.e., 5 629 409 × 5 629 409); the square of 5 629 409 is sometimes called "raising 5 629 409 to the power 2", or "5 629 409 squared".
The square of 5 629 409 is 31 690 245 689 281 because 5 629 409 × 5 629 409 = 5 629 4092 = 31 690 245 689 281.
As a consequence, 5 629 409 is the square root of 31 690 245 689 281.
The multiples of 5 629 409 are all integers evenly divisible by 5 629 409, that is all numbers such that the remainder of the division by 5 629 409 is zero. There are infinitely many multiples of 5 629 409. The smallest multiples of 5 629 409 are: