312213001057 has 2 divisors, whose sum is σ = 312213001058. Its totient is φ = 312213001056.

The previous prime is 312213001013. The next prime is 312213001063. The reversal of 312213001057 is 750100312213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 304437994081 + 7775006976 = 551759^2 + 88176^2 .

It is a cyclic number.

It is not a de Polignac number, because 312213001057 - 2¹⁵ = 312212968289 is a prime.

It is not a weakly prime, because it can be changed into another prime (312213001097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156106500528 + 156106500529.

It is an arithmetic number, because the mean of its divisors is an integer number (156106500529).

Almost surely, 2^312213001057 is an apocalyptic number.

It is an amenable number.

312213001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

312213001057 is an equidigital number, since it uses as much as digits as its factorization.

312213001057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 25.

The spelling of 312213001057 in words is "three hundred twelve billion, two hundred thirteen million, one thousand, fifty-seven".