27625600413 has 12 divisors (see below), whose sum is σ = 40982122428. Its totient is φ = 17919308160.

The previous prime is 27625600399. The next prime is 27625600417. The reversal of 27625600413 is 31400652672.

27625600413 is a `hidden beast` number, since 2 + 7 + 6 + 2 + 5 + 600 + 41 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18680602329 + 8944998084 = 136677^2 + 94578^2 .

It is not a de Polignac number, because 27625600413 - 2⁵ = 27625600381 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27625600417) 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, 41479548 + ... + 41480213.

It is an arithmetic number, because the mean of its divisors is an integer number (3415176869).

Almost surely, 2^27625600413 is an apocalyptic number.

It is an amenable number.

27625600413 is a deficient number, since it is larger than the sum of its proper divisors (13356522015).

27625600413 is a wasteful number, since it uses less digits than its factorization.

27625600413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82959804 (or 82959801 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 27625600413 in words is "twenty-seven billion, six hundred twenty-five million, six hundred thousand, four hundred thirteen".