312838310601 has 12 divisors (see below), whose sum is σ = 452256349428. Its totient is φ = 208384047744.

The previous prime is 312838310597. The next prime is 312838310611. The reversal of 312838310601 is 106013838213.

312838310601 is a `hidden beast` number, since 3 + 1 + 2 + 8 + 38 + 3 + 10 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68309049600 + 244529261001 = 261360^2 + 494499^2 .

It is not a de Polignac number, because 312838310601 - 2² = 312838310597 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312838310611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14557500 + ... + 14578973.

It is an arithmetic number, because the mean of its divisors is an integer number (37688029119).

Almost surely, 2^312838310601 is an apocalyptic number.

It is an amenable number.

312838310601 is a deficient number, since it is larger than the sum of its proper divisors (139418038827).

312838310601 is a wasteful number, since it uses less digits than its factorization.

312838310601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29137672 (or 29137669 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 312838310601 in words is "three hundred twelve billion, eight hundred thirty-eight million, three hundred ten thousand, six hundred one".