179027477413225 has 81 divisors (see below), whose sum is σ = 263238844664943. Its totient is φ = 120428741946240.

The previous prime is 179027477413207. The next prime is 179027477413231. The reversal of 179027477413225 is 522314774720971.

The square root of 179027477413225 is 13380115.

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

It can be written as a sum of positive squares in 13 ways, for example, as 19934965889881 + 159092511523344 = 4464859^2 + 12613188^2 .

It is not a de Polignac number, because 179027477413225 - 2⁷ = 179027477413097 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, 24820109719 + ... + 24820116931.

Almost surely, 2^{179027477413225} is an apocalyptic number.

179027477413225 is the 13380115-th square number.

179027477413225 is the 6690058-th centered octagonal number.

It is an amenable number.

179027477413225 is a deficient number, since it is larger than the sum of its proper divisors (84211367251718).

179027477413225 is an frugal number, since it uses more digits than its factorization.

179027477413225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14556 (or 7278 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 61.

The spelling of 179027477413225 in words is "one hundred seventy-nine trillion, twenty-seven billion, four hundred seventy-seven million, four hundred thirteen thousand, two hundred twenty-five".