Is 264253489 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 264 253 489 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 264 253 489, the only two divisors are 1 and 264 253 489. Therefore 264 253 489 is a prime number.
As a consequence, 264 253 489 is only a multiple of 1 and 264 253 489.
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Since 264253489 is a prime number, 264253489 is also a deficient number, that is to say 264253489 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 264253489 without 264253489 itself (that is 1, by definition!).