32060678706225 has 135 divisors (see below), whose sum is σ = 64313775554193. Its totient is φ = 15782088029760.

The previous prime is 32060678706197. The next prime is 32060678706241. The reversal of 32060678706225 is 52260787606023.

The square root of 32060678706225 is 5662215.

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

32060678706225 is a `hidden beast` number, since 3 + 2 + 0 + 6 + 0 + 6 + 7 + 8 + 7 + 0 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8263687363569 + 23796991342656 = 2874663^2 + 4878216^2 .

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

It is not a de Polignac number, because 32060678706225 - 2⁵ = 32060678706193 is a prime.

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, 3312390936 + ... + 3312400614.

Almost surely, 2^{32060678706225} is an apocalyptic number.

32060678706225 is the 5662215-th square number.

32060678706225 is the 2831108-th centered octagonal number.

It is an amenable number.

32060678706225 is an abundant number, since it is smaller than the sum of its proper divisors (32253096847968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32060678706225 is an frugal number, since it uses more digits than its factorization.

32060678706225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19406 (or 9700 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 32060678706225 in words is "thirty-two trillion, sixty billion, six hundred seventy-eight million, seven hundred six thousand, two hundred twenty-five".