Is 463761013 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 463 761 013 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 463 761 013, the only two divisors are 1 and 463 761 013. Therefore 463 761 013 is a prime number.
As a consequence, 463 761 013 is only a multiple of 1 and 463 761 013.
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Since 463761013 is a prime number, 463761013 is also a deficient number, that is to say 463761013 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 463761013 without 463761013 itself (that is 1, by definition!).