312515351 has 2 divisors, whose sum is σ = 312515352. Its totient is φ = 312515350.

The previous prime is 312515327. The next prime is 312515353. The reversal of 312515351 is 153515213.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 312515351 - 2²⁶ = 245406487 is a prime.

It is a super-2 number, since 2×312515351² = 195331689221306402, which contains 22 as substring.

Together with 312515353, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312515351.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312515353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156257675 + 156257676.

It is an arithmetic number, because the mean of its divisors is an integer number (156257676).

Almost surely, 2^312515351 is an apocalyptic number.

312515351 is a deficient number, since it is larger than the sum of its proper divisors (1).

312515351 is an equidigital number, since it uses as much as digits as its factorization.

312515351 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2250, while the sum is 26.

The square root of 312515351 is about 17678.1037161795. The cubic root of 312515351 is about 678.6155157067.

The spelling of 312515351 in words is "three hundred twelve million, five hundred fifteen thousand, three hundred fifty-one".