10312512506406 has 72 divisors (see below), whose sum is σ = 25130844658920. Its totient is φ = 3052329255360.

The previous prime is 10312512506389. The next prime is 10312512506441. The reversal of 10312512506406 is 60460521521301.

10312512506406 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 2 + 5 + 1 + 2 + 5 + 0 + 640 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54962791 + ... + 55150098.

Almost surely, 2^{10312512506406} is an apocalyptic number.

10312512506406 is an abundant number, since it is smaller than the sum of its proper divisors (14818332152514).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10312512506406 is a wasteful number, since it uses less digits than its factorization.

10312512506406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110112962 (or 110112948 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10312512506406 in words is "ten trillion, three hundred twelve billion, five hundred twelve million, five hundred six thousand, four hundred six".