Is 509379349 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 509 379 349 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 509 379 349, the only two divisors are 1 and 509 379 349. Therefore 509 379 349 is a prime number.
As a consequence, 509 379 349 is only a multiple of 1 and 509 379 349.
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Since 509379349 is a prime number, 509379349 is also a deficient number, that is to say 509379349 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 509379349 without 509379349 itself (that is 1, by definition!).