32876061075225 has 135 divisors (see below), whose sum is σ = 62244056043631. Its totient is φ = 17154507477600.

The previous prime is 32876061075199. The next prime is 32876061075233. The reversal of 32876061075225 is 52257016067823.

The square root of 32876061075225 is 5733765.

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

32876061075225 is a `hidden beast` number, since 3 + 2 + 8 + 7 + 6 + 0 + 6 + 107 + 522 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11835381987081 + 21040679088144 = 3440259^2 + 4587012^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 32876061075225 - 2²¹ = 32876058978073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 12126911620 + ... + 12126914330.

Almost surely, 2^{32876061075225} is an apocalyptic number.

32876061075225 is the 5733765-th square number.

32876061075225 is the 2866883-rd centered octagonal number.

It is an amenable number.

32876061075225 is a deficient number, since it is larger than the sum of its proper divisors (29367994968406).

32876061075225 is an frugal number, since it uses more digits than its factorization.

32876061075225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5538 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 32876061075225 in words is "thirty-two trillion, eight hundred seventy-six billion, sixty-one million, seventy-five thousand, two hundred twenty-five".