2172673052001 has 9 divisors (see below), whose sum is σ = 3138311906899. Its totient is φ = 1448445753336.

The previous prime is 2172673051999. The next prime is 2172673052027. The reversal of 2172673052001 is 1002503762712.

The square root of 2172673052001 is 1473999.

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

2172673052001 is a `hidden beast` number, since 2 + 1 + 72 + 67 + 3 + 0 + 520 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 274130780625 + 1898542271376 = 523575^2 + 1377876^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2172673052001 - 2¹ = 2172673051999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2172673052041) 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, 4176331 + ... + 4667663.

Almost surely, 2^{2172673052001} is an apocalyptic number.

2172673052001 is the 1473999-th square number.

2172673052001 is the 737000-th centered octagonal number.

It is an amenable number.

2172673052001 is a deficient number, since it is larger than the sum of its proper divisors (965638854898).

2172673052001 is an frugal number, since it uses more digits than its factorization.

2172673052001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982672 (or 491336 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Multiplying 2172673052001 by its sum of digits (36), we get a square (78216229872036 = 8843994²).

The spelling of 2172673052001 in words is "two trillion, one hundred seventy-two billion, six hundred seventy-three million, fifty-two thousand, one".