312375013 has 2 divisors, whose sum is σ = 312375014. Its totient is φ = 312375012.

The previous prime is 312374989. The next prime is 312375031. The reversal of 312375013 is 310573213.

312375013 = 12497² + 12498².

Together with next prime (312375031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156200004 + 156175009 = 12498^2 + 12497^2 .

It is a cyclic number.

It is not a de Polignac number, because 312375013 - 2⁵ = 312374981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312372013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156187506 + 156187507.

It is an arithmetic number, because the mean of its divisors is an integer number (156187507).

Almost surely, 2^312375013 is an apocalyptic number.

312375013 is the 12498-th centered square number.

It is an amenable number.

312375013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312375013 is an equidigital number, since it uses as much as digits as its factorization.

312375013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 312375013 is about 17674.1340099027. The cubic root of 312375013 is about 678.5139209072.

The spelling of 312375013 in words is "three hundred twelve million, three hundred seventy-five thousand, thirteen".