7117130162025 has 81 divisors (see below), whose sum is σ = 13804591737807. Its totient is φ = 3503561817600.

The previous prime is 7117130162003. The next prime is 7117130162041. The reversal of 7117130162025 is 5202610317117.

The square root of 7117130162025 is 2667795.

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

7117130162025 is a `hidden beast` number, since 7 + 1 + 1 + 7 + 1 + 3 + 0 + 1 + 620 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3589164351081 + 3527965810944 = 1894509^2 + 1878288^2 .

It is not a de Polignac number, because 7117130162025 - 2¹¹ = 7117130159977 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 520213185 + ... + 520226865.

Almost surely, 2^{7117130162025} is an apocalyptic number.

7117130162025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7117130162025 is the 2667795-th square number.

7117130162025 is the 1333898-th centered octagonal number.

It is an amenable number.

7117130162025 is a deficient number, since it is larger than the sum of its proper divisors (6687461575782).

7117130162025 is an equidigital number, since it uses as much as digits as its factorization.

7117130162025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27404 (or 13702 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

Multiplying 7117130162025 by its sum of digits (36), we get a square (256216685832900 = 16006770²).

The spelling of 7117130162025 in words is "seven trillion, one hundred seventeen billion, one hundred thirty million, one hundred sixty-two thousand, twenty-five".