Is 509323069 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 509 323 069 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 509 323 069, the only two divisors are 1 and 509 323 069. Therefore 509 323 069 is a prime number.
As a consequence, 509 323 069 is only a multiple of 1 and 509 323 069.
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Since 509323069 is a prime number, 509323069 is also a deficient number, that is to say 509323069 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 509323069 without 509323069 itself (that is 1, by definition!).