7127613118081 has 9 divisors (see below), whose sum is σ = 7140834184899. Its totient is φ = 7114416499344.

The previous prime is 7127613118061. The next prime is 7127613118111. The reversal of 7127613118081 is 1808113167217.

It is a happy number.

The square root of 7127613118081 is 2669759.

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., 206420292225 + 6921192825856 = 454335^2 + 2630816^2 .

It is not a de Polignac number, because 7127613118081 - 2⁵ = 7127613118049 is a prime.

It is a super-2 number, since 2×7127613118081² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7127613118001) 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, 1647239140 + ... + 1647243466.

Almost surely, 2^{7127613118081} is an apocalyptic number.

7127613118081 is the 2669759-th square number.

7127613118081 is the 1334880-th centered octagonal number.

It is an amenable number.

7127613118081 is a deficient number, since it is larger than the sum of its proper divisors (13221066818).

7127613118081 is an frugal number, since it uses more digits than its factorization.

7127613118081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9888 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 46.

The spelling of 7127613118081 in words is "seven trillion, one hundred twenty-seven billion, six hundred thirteen million, one hundred eighteen thousand, eighty-one".