27034265241 has 15 divisors (see below), whose sum is σ = 40386730351. Its totient is φ = 18021856968.

The previous prime is 27034265233. The next prime is 27034265261. The reversal of 27034265241 is 14256243072.

The square root of 27034265241 is 164421.

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

27034265241 is a `hidden beast` number, since 2 + 70 + 342 + 6 + 5 + 241 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19538168841 + 7496096400 = 139779^2 + 86580^2 .

It is not a de Polignac number, because 27034265241 - 2³ = 27034265233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27034265196 and 27034265205.

It is not an unprimeable number, because it can be changed into a prime (27034265261) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1470655 + ... + 1488923.

Almost surely, 2^27034265241 is an apocalyptic number.

27034265241 is the 164421-st square number.

27034265241 is the 82211-st centered octagonal number.

It is an amenable number.

27034265241 is a deficient number, since it is larger than the sum of its proper divisors (13352465110).

27034265241 is an frugal number, since it uses more digits than its factorization.

27034265241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36550 (or 18272 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 27034265241 by its sum of digits (36), we get a square (973233548676 = 986526²).

The spelling of 27034265241 in words is "twenty-seven billion, thirty-four million, two hundred sixty-five thousand, two hundred forty-one".