82165613475625 has 15 divisors (see below), whose sum is σ = 102674433775683. Its totient is φ = 65732309490000.

The previous prime is 82165613475563. The next prime is 82165613475643. The reversal of 82165613475625 is 52657431656128.

It is a happy number.

The square root of 82165613475625 is 9064525.

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 78562465421209 + 3603148054416 = 8863547^2 + 1898196^2 .

It is not a de Polignac number, because 82165613475625 - 2¹⁹ = 82165612951337 is a prime.

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 226431835 + ... + 226794415.

Almost surely, 2^{82165613475625} is an apocalyptic number.

82165613475625 is the 9064525-th square number.

82165613475625 is the 4532263-rd centered octagonal number.

It is an amenable number.

82165613475625 is a deficient number, since it is larger than the sum of its proper divisors (20508820300058).

82165613475625 is an frugal number, since it uses more digits than its factorization.

82165613475625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725182 (or 362586 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 61.

The spelling of 82165613475625 in words is "eighty-two trillion, one hundred sixty-five billion, six hundred thirteen million, four hundred seventy-five thousand, six hundred twenty-five".