27056631121 has 9 divisors (see below), whose sum is σ = 29300324529. Its totient is φ = 24973377936.

The previous prime is 27056631113. The next prime is 27056631127. The reversal of 27056631121 is 12113665072.

The square root of 27056631121 is 164489.

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

It can be written as a sum of positive squares in 4 ways, for example, as 21774248721 + 5282382400 = 147561^2 + 72680^2 .

It is not a de Polignac number, because 27056631121 - 2³ = 27056631113 is a prime.

It is a super-2 number, since 2×27056631121² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27056631127) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2132031 + ... + 2144683.

Almost surely, 2^27056631121 is an apocalyptic number.

27056631121 is the 164489-th square number.

27056631121 is the 82245-th centered octagonal number.

It is an amenable number.

27056631121 is a deficient number, since it is larger than the sum of its proper divisors (2243693408).

27056631121 is an frugal number, since it uses more digits than its factorization.

27056631121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25332 (or 12666 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 27056631121 in words is "twenty-seven billion, fifty-six million, six hundred thirty-one thousand, one hundred twenty-one".