27126612513 has 144 divisors (see below), whose sum is σ = 56700798336. Its totient is φ = 12242119680.

The previous prime is 27126612509. The next prime is 27126612517. The reversal of 27126612513 is 31521662172.

27126612513 is a `hidden beast` number, since 2 + 7 + 1 + 26 + 612 + 5 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (27126612509) and next prime (27126612517).

It is not a de Polignac number, because 27126612513 - 2² = 27126612509 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27126612517) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1059420 + ... + 1084722.

It is an arithmetic number, because the mean of its divisors is an integer number (393755544).

Almost surely, 2^27126612513 is an apocalyptic number.

It is an amenable number.

27126612513 is an abundant number, since it is smaller than the sum of its proper divisors (29574185823).

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

27126612513 is a wasteful number, since it uses less digits than its factorization.

27126612513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25364 (or 25354 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The spelling of 27126612513 in words is "twenty-seven billion, one hundred twenty-six million, six hundred twelve thousand, five hundred thirteen".