312416632393 has 2 divisors, whose sum is σ = 312416632394. Its totient is φ = 312416632392.

The previous prime is 312416632291. The next prime is 312416632469. The reversal of 312416632393 is 393236614213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255911539129 + 56505093264 = 505877^2 + 237708^2 .

It is a cyclic number.

It is not a de Polignac number, because 312416632393 - 2²⁵ = 312383077961 is a prime.

It is not a weakly prime, because it can be changed into another prime (312416633393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156208316196 + 156208316197.

It is an arithmetic number, because the mean of its divisors is an integer number (156208316197).

Almost surely, 2^312416632393 is an apocalyptic number.

It is an amenable number.

312416632393 is a deficient number, since it is larger than the sum of its proper divisors (1).

312416632393 is an equidigital number, since it uses as much as digits as its factorization.

312416632393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 419904, while the sum is 43.

The spelling of 312416632393 in words is "three hundred twelve billion, four hundred sixteen million, six hundred thirty-two thousand, three hundred ninety-three".