Is 513609331 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 513 609 331 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 513 609 331, the only two divisors are 1 and 513 609 331. Therefore 513 609 331 is a prime number.
As a consequence, 513 609 331 is only a multiple of 1 and 513 609 331.
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Since 513609331 is a prime number, 513609331 is also a deficient number, that is to say 513609331 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 513609331 without 513609331 itself (that is 1, by definition!).
