It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 6 504 967 is not a prime number.
For example, 6 504 967 can be divided by 7: 6 504 967 / 7 = 929 281.
For 6 504 967 to be a prime number, it would have been required that 6 504 967 has only two divisors, i.e., itself and 1.
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6 504 967 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 6 504 967 is about 2 550.484.
Thus, the square root of 6 504 967 is not an integer, and therefore 6 504 967 is not a square number.
The square of a number (here 6 504 967) is the result of the product of this number (6 504 967) by itself (i.e., 6 504 967 × 6 504 967); the square of 6 504 967 is sometimes called "raising 6 504 967 to the power 2", or "6 504 967 squared".
The square of 6 504 967 is 42 314 595 671 089 because 6 504 967 × 6 504 967 = 6 504 9672 = 42 314 595 671 089.
As a consequence, 6 504 967 is the square root of 42 314 595 671 089.
The multiples of 6 504 967 are all integers evenly divisible by 6 504 967, that is all numbers such that the remainder of the division by 6 504 967 is zero. There are infinitely many multiples of 6 504 967. The smallest multiples of 6 504 967 are: