Is 509499019 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 509 499 019 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 509 499 019, the only two divisors are 1 and 509 499 019. Therefore 509 499 019 is a prime number.
As a consequence, 509 499 019 is only a multiple of 1 and 509 499 019.
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Since 509499019 is a prime number, 509499019 is also a deficient number, that is to say 509499019 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 509499019 without 509499019 itself (that is 1, by definition!).