Is 507475909 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 507 475 909 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 507 475 909, the only two divisors are 1 and 507 475 909. Therefore 507 475 909 is a prime number.
As a consequence, 507 475 909 is only a multiple of 1 and 507 475 909.
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Since 507475909 is a prime number, 507475909 is also a deficient number, that is to say 507475909 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 507475909 without 507475909 itself (that is 1, by definition!).