Is 25000009 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 25 000 009 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 25 000 009, the only two divisors are 1 and 25 000 009. Therefore 25 000 009 is a prime number.
As a consequence, 25 000 009 is only a multiple of 1 and 25 000 009.
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Since 25000009 is a prime number, 25000009 is also a deficient number, that is to say 25000009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 25000009 without 25000009 itself (that is 1, by definition!).