Is 870624509 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 870 624 509 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 870 624 509, the only two divisors are 1 and 870 624 509. Therefore 870 624 509 is a prime number.
As a consequence, 870 624 509 is only a multiple of 1 and 870 624 509.
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Since 870624509 is a prime number, 870624509 is also a deficient number, that is to say 870624509 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 870624509 without 870624509 itself (that is 1, by definition!).