13167792001 has 45 divisors (see below), whose sum is σ = 16766896959. Its totient is φ = 10311065856.

The previous prime is 13167791971. The next prime is 13167792041. The reversal of 13167792001 is 10029776131.

The square root of 13167792001 is 114751.

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

It can be written as a sum of positive squares in 7 ways, for example, as 13138890625 + 28901376 = 114625^2 + 5376^2 .

It is not a de Polignac number, because 13167792001 - 2⁹ = 13167791489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13167792041) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 135750385 + ... + 135750481.

Almost surely, 2^13167792001 is an apocalyptic number.

13167792001 is the 114751-st square number.

13167792001 is the 57376-th centered octagonal number.

It is an amenable number.

13167792001 is a deficient number, since it is larger than the sum of its proper divisors (3599104958).

13167792001 is an frugal number, since it uses more digits than its factorization.

13167792001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 37.

Multiplying 13167792001 by its product of nonzero digits (15876), we get a square (209051865807876 = 14458626²).

The spelling of 13167792001 in words is "thirteen billion, one hundred sixty-seven million, seven hundred ninety-two thousand, one".