Is 402425509 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 402 425 509 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 402 425 509, the only two divisors are 1 and 402 425 509. Therefore 402 425 509 is a prime number.
As a consequence, 402 425 509 is only a multiple of 1 and 402 425 509.
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Since 402425509 is a prime number, 402425509 is also a deficient number, that is to say 402425509 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 402425509 without 402425509 itself (that is 1, by definition!).