Is 563481013 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 563 481 013 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 563 481 013, the only two divisors are 1 and 563 481 013. Therefore 563 481 013 is a prime number.
As a consequence, 563 481 013 is only a multiple of 1 and 563 481 013.
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Since 563481013 is a prime number, 563481013 is also a deficient number, that is to say 563481013 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 563481013 without 563481013 itself (that is 1, by definition!).