Is 507312067 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 507 312 067 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 507 312 067, the only two divisors are 1 and 507 312 067. Therefore 507 312 067 is a prime number.
As a consequence, 507 312 067 is only a multiple of 1 and 507 312 067.
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Since 507312067 is a prime number, 507312067 is also a deficient number, that is to say 507312067 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 507312067 without 507312067 itself (that is 1, by definition!).