32167057903201 has 27 divisors (see below), whose sum is σ = 34974558749259. Its totient is φ = 29571455377152.

The previous prime is 32167057903187. The next prime is 32167057903243. The reversal of 32167057903201 is 10230975076123.

The square root of 32167057903201 is 5671601.

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 20644291872801 + 11522766030400 = 4543599^2 + 3394520^2 .

It is not a de Polignac number, because 32167057903201 - 2⁷ = 32167057903073 is a prime.

It is a super-2 number, since 2×32167057903201² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32167057903291) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21603127465 + ... + 21603128953.

Almost surely, 2^{32167057903201} is an apocalyptic number.

32167057903201 is the 5671601-st square number.

32167057903201 is the 2835801-st centered octagonal number.

It is an amenable number.

32167057903201 is a deficient number, since it is larger than the sum of its proper divisors (2807500846058).

32167057903201 is an frugal number, since it uses more digits than its factorization.

32167057903201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 46.

The spelling of 32167057903201 in words is "thirty-two trillion, one hundred sixty-seven billion, fifty-seven million, nine hundred three thousand, two hundred one".