Is 509443213 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 509 443 213 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 509 443 213, the only two divisors are 1 and 509 443 213. Therefore 509 443 213 is a prime number.
As a consequence, 509 443 213 is only a multiple of 1 and 509 443 213.
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Since 509443213 is a prime number, 509443213 is also a deficient number, that is to say 509443213 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 509443213 without 509443213 itself (that is 1, by definition!).