It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 7 006 609 is not a prime number.
For example, 7 006 609 can be divided by 2 647: 7 006 609 / 2647 = 2 647.
For 7 006 609 to be a prime number, it would have been required that 7 006 609 has only two divisors, i.e., itself and 1.
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7 006 609 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 7 006 609 is 2 647.
Therefore, the square root of 7 006 609 is an integer, and as a consequence 7 006 609 is a perfect square.
The square of a number (here 7 006 609) is the result of the product of this number (7 006 609) by itself (i.e., 7 006 609 × 7 006 609); the square of 7 006 609 is sometimes called "raising 7 006 609 to the power 2", or "7 006 609 squared".
The square of 7 006 609 is 49 092 569 678 881 because 7 006 609 × 7 006 609 = 7 006 6092 = 49 092 569 678 881.
As a consequence, 7 006 609 is the square root of 49 092 569 678 881.
The multiples of 7 006 609 are all integers evenly divisible by 7 006 609, that is all numbers such that the remainder of the division by 7 006 609 is zero. There are infinitely many multiples of 7 006 609. The smallest multiples of 7 006 609 are: