180540859801 has 9 divisors (see below), whose sum is σ = 184034518941. Its totient is φ = 177112333632.

The previous prime is 180540859757. The next prime is 180540859817. The reversal of 180540859801 is 108958045081.

The square root of 180540859801 is 424901.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16499659401 + 164041200400 = 128451^2 + 405020^2 .

It is not a de Polignac number, because 180540859801 - 2²⁵ = 180507305369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180540859001) 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, 22515745 + ... + 22523761.

Almost surely, 2^180540859801 is an apocalyptic number.

180540859801 is the 424901-st square number.

180540859801 is the 212451-st centered octagonal number.

It is an amenable number.

180540859801 is a deficient number, since it is larger than the sum of its proper divisors (3493659140).

180540859801 is an frugal number, since it uses more digits than its factorization.

180540859801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16140 (or 8070 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 49.

Multiplying 180540859801 by its sum of digits (49), we get a square (8846502130249 = 2974307²).

The spelling of 180540859801 in words is "one hundred eighty billion, five hundred forty million, eight hundred fifty-nine thousand, eight hundred one".