It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 9 009 501 is not a prime number.
For example, 9 009 501 can be divided by 3: 9 009 501 / 3 = 3 003 167.
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For 9 009 501 to be a prime number, it would have been required that 9 009 501 has only two divisors, i.e., itself and 1.
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9 009 501 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 9 009 501 is about 3 001.583.
Thus, the square root of 9 009 501 is not an integer, and therefore 9 009 501 is not a square number.
The square of a number (here 9 009 501) is the result of the product of this number (9 009 501) by itself (i.e., 9 009 501 × 9 009 501); the square of 9 009 501 is sometimes called "raising 9 009 501 to the power 2", or "9 009 501 squared".
The square of 9 009 501 is 81 171 108 269 001 because 9 009 501 × 9 009 501 = 9 009 5012 = 81 171 108 269 001.
As a consequence, 9 009 501 is the square root of 81 171 108 269 001.
The multiples of 9 009 501 are all integers evenly divisible by 9 009 501, that is all numbers such that the remainder of the division by 9 009 501 is zero. There are infinitely many multiples of 9 009 501. The smallest multiples of 9 009 501 are: