Is 551216509 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 551 216 509 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 551 216 509, the only two divisors are 1 and 551 216 509. Therefore 551 216 509 is a prime number.
As a consequence, 551 216 509 is only a multiple of 1 and 551 216 509.
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Since 551216509 is a prime number, 551216509 is also a deficient number, that is to say 551216509 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 551216509 without 551216509 itself (that is 1, by definition!).