27117962515081 has 45 divisors (see below), whose sum is σ = 29673517210659. Its totient is φ = 24781991409792.

The previous prime is 27117962515069. The next prime is 27117962515087. The reversal of 27117962515081 is 18051526971172.

The square root of 27117962515081 is 5207491.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1800118639225 + 25317843875856 = 1341685^2 + 5031684^2 .

It is not a de Polignac number, because 27117962515081 - 2¹³ = 27117962506889 is a prime.

It is a super-2 number, since 2×27117962515081² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27117962515087) 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, 55683701020 + ... + 55683701506.

Almost surely, 2^{27117962515081} is an apocalyptic number.

27117962515081 is the 5207491-st square number.

27117962515081 is the 2603746-th centered octagonal number.

It is an amenable number.

27117962515081 is a deficient number, since it is larger than the sum of its proper divisors (2555554695578).

27117962515081 is an frugal number, since it uses more digits than its factorization.

27117962515081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 55.

The spelling of 27117962515081 in words is "twenty-seven trillion, one hundred seventeen billion, nine hundred sixty-two million, five hundred fifteen thousand, eighty-one".