Is 25009967 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 25 009 967 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 25 009 967, the only two divisors are 1 and 25 009 967. Therefore 25 009 967 is a prime number.
As a consequence, 25 009 967 is only a multiple of 1 and 25 009 967.
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Since 25009967 is a prime number, 25009967 is also a deficient number, that is to say 25009967 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 25009967 without 25009967 itself (that is 1, by definition!).