32171572656001 has 9 divisors (see below), whose sum is σ = 34175440856899. Its totient is φ = 30279036453664.

The previous prime is 32171572655987. The next prime is 32171572656007. The reversal of 32171572656001 is 10065627517123.

The square root of 32171572656001 is 5671999.

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

It can be written as a sum of positive squares in only one way, i.e., 25047072137025 + 7124500518976 = 5004705^2 + 2669176^2 .

It is not a de Polignac number, because 32171572656001 - 2³⁵ = 32137212917633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32171572656007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96257160 + ... + 96590806.

Almost surely, 2^{32171572656001} is an apocalyptic number.

32171572656001 is the 5671999-th square number.

32171572656001 is the 2836000-th centered octagonal number.

It is an amenable number.

32171572656001 is a deficient number, since it is larger than the sum of its proper divisors (2003868200898).

32171572656001 is an frugal number, since it uses more digits than its factorization.

32171572656001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667328 (or 333664 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 46.

The spelling of 32171572656001 in words is "thirty-two trillion, one hundred seventy-one billion, five hundred seventy-two million, six hundred fifty-six thousand, one".