Is 21000509 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 21 000 509 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 21 000 509, the only two divisors are 1 and 21 000 509. Therefore 21 000 509 is a prime number.
As a consequence, 21 000 509 is only a multiple of 1 and 21 000 509.
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Since 21000509 is a prime number, 21000509 is also a deficient number, that is to say 21000509 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 21000509 without 21000509 itself (that is 1, by definition!).