27123125481 has 45 divisors (see below), whose sum is σ = 42029193063. Its totient is φ = 17430895440.

The previous prime is 27123125453. The next prime is 27123125573. The reversal of 27123125481 is 18452132172.

The square root of 27123125481 is 164691.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14222709081 + 12900416400 = 119259^2 + 113580^2 .

It is not a de Polignac number, because 27123125481 - 2²⁵ = 27089571049 is a prime.

It is a super-2 number, since 2×27123125481² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27123125401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 42984036 + ... + 42984666.

Almost surely, 2^27123125481 is an apocalyptic number.

27123125481 is the 164691-st square number.

27123125481 is the 82346-th centered octagonal number.

It is an amenable number.

27123125481 is a deficient number, since it is larger than the sum of its proper divisors (14906067582).

27123125481 is an frugal number, since it uses more digits than its factorization.

27123125481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 663 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

Multiplying 27123125481 by its sum of digits (36), we get a square (976432517316 = 988146²).

The spelling of 27123125481 in words is "twenty-seven billion, one hundred twenty-three million, one hundred twenty-five thousand, four hundred eighty-one".