Is 502002019 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 502 002 019 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 502 002 019, the only two divisors are 1 and 502 002 019. Therefore 502 002 019 is a prime number.
As a consequence, 502 002 019 is only a multiple of 1 and 502 002 019.
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Since 502002019 is a prime number, 502002019 is also a deficient number, that is to say 502002019 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 502002019 without 502002019 itself (that is 1, by definition!).