Is 507749071 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 507 749 071 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 507 749 071, the only two divisors are 1 and 507 749 071. Therefore 507 749 071 is a prime number.
As a consequence, 507 749 071 is only a multiple of 1 and 507 749 071.
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Since 507749071 is a prime number, 507749071 is also a deficient number, that is to say 507749071 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 507749071 without 507749071 itself (that is 1, by definition!).