251872319 has 2 divisors, whose sum is σ = 251872320. Its totient is φ = 251872318.

The previous prime is 251872261. The next prime is 251872321. The reversal of 251872319 is 913278152.

251872319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 251872319 - 2⁸ = 251872063 is a prime.

It is a super-2 number, since 2×251872319² = 126879330156875522, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 251872321, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (251872339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125936159 + 125936160.

It is an arithmetic number, because the mean of its divisors is an integer number (125936160).

Almost surely, 2^251872319 is an apocalyptic number.

251872319 is a deficient number, since it is larger than the sum of its proper divisors (1).

251872319 is an equidigital number, since it uses as much as digits as its factorization.

251872319 is an evil number, because the sum of its binary digits is even.

The product of its digits is 30240, while the sum is 38.

The square root of 251872319 is about 15870.4857833653. The cubic root of 251872319 is about 631.5292646129.

The spelling of 251872319 in words is "two hundred fifty-one million, eight hundred seventy-two thousand, three hundred nineteen".