Is 61649009 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 61 649 009 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 61 649 009, the only two divisors are 1 and 61 649 009. Therefore 61 649 009 is a prime number.
As a consequence, 61 649 009 is only a multiple of 1 and 61 649 009.
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Since 61649009 is a prime number, 61649009 is also a deficient number, that is to say 61649009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 61649009 without 61649009 itself (that is 1, by definition!).