312475249301 has 2 divisors, whose sum is σ = 312475249302. Its totient is φ = 312475249300.

The previous prime is 312475249277. The next prime is 312475249321. The reversal of 312475249301 is 103942574213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274393678276 + 38081571025 = 523826^2 + 195145^2 .

It is a cyclic number.

It is not a de Polignac number, because 312475249301 - 2²⁶ = 312408140437 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312475249321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156237624650 + 156237624651.

It is an arithmetic number, because the mean of its divisors is an integer number (156237624651).

Almost surely, 2^312475249301 is an apocalyptic number.

It is an amenable number.

312475249301 is a deficient number, since it is larger than the sum of its proper divisors (1).

312475249301 is an equidigital number, since it uses as much as digits as its factorization.

312475249301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 312475249301 in words is "three hundred twelve billion, four hundred seventy-five million, two hundred forty-nine thousand, three hundred one".