27116538241 has 27 divisors (see below), whose sum is σ = 30053091369. Its totient is φ = 24455619552.

The previous prime is 27116538101. The next prime is 27116538257. The reversal of 27116538241 is 14283561172.

The square root of 27116538241 is 164671.

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 703787841 + 26412750400 = 26529^2 + 162520^2 .

It is not a de Polignac number, because 27116538241 - 2²³ = 27108149633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27116538194 and 27116538203.

It is not an unprimeable number, because it can be changed into a prime (27116938241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 113458200 + ... + 113458438.

Almost surely, 2^27116538241 is an apocalyptic number.

27116538241 is the 164671-st square number.

27116538241 is the 82336-th centered octagonal number.

It is an amenable number.

27116538241 is a deficient number, since it is larger than the sum of its proper divisors (2936553128).

27116538241 is an frugal number, since it uses more digits than its factorization.

27116538241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 305 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The spelling of 27116538241 in words is "twenty-seven billion, one hundred sixteen million, five hundred thirty-eight thousand, two hundred forty-one".