312540325767 has 32 divisors (see below), whose sum is σ = 473860175360. Its totient is φ = 203484778560.

The previous prime is 312540325753. The next prime is 312540325807. The reversal of 312540325767 is 767523045213.

312540325767 is a `hidden beast` number, since 3 + 1 + 2 + 5 + 40 + 32 + 576 + 7 = 666.

312540325767 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 312540325767 - 2¹² = 312540321671 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312540325267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10156158 + ... + 10186884.

It is an arithmetic number, because the mean of its divisors is an integer number (14808130480).

Almost surely, 2^312540325767 is an apocalyptic number.

312540325767 is a deficient number, since it is larger than the sum of its proper divisors (161319849593).

312540325767 is a wasteful number, since it uses less digits than its factorization.

312540325767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39540 (or 39534 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 312540325767 in words is "three hundred twelve billion, five hundred forty million, three hundred twenty-five thousand, seven hundred sixty-seven".