312491610401 has 2 divisors, whose sum is σ = 312491610402. Its totient is φ = 312491610400.

The previous prime is 312491610383. The next prime is 312491610439. The reversal of 312491610401 is 104016194213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 228747932176 + 83743678225 = 478276^2 + 289385^2 .

It is a cyclic number.

It is not a de Polignac number, because 312491610401 - 2¹⁰ = 312491609377 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (312491610491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156245805200 + 156245805201.

It is an arithmetic number, because the mean of its divisors is an integer number (156245805201).

Almost surely, 2^312491610401 is an apocalyptic number.

It is an amenable number.

312491610401 is a deficient number, since it is larger than the sum of its proper divisors (1).

312491610401 is an equidigital number, since it uses as much as digits as its factorization.

312491610401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 312491610401 in words is "three hundred twelve billion, four hundred ninety-one million, six hundred ten thousand, four hundred one".