180416810025 has 45 divisors (see below), whose sum is σ = 334229707911. Its totient is φ = 96212104560.

The previous prime is 180416810017. The next prime is 180416810047. The reversal of 180416810025 is 520018614081.

The square root of 180416810025 is 424755.

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., 64950051609 + 115466758416 = 254853^2 + 339804^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 180416810025 - 2³ = 180416810017 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19109256 + ... + 19118694.

Almost surely, 2^180416810025 is an apocalyptic number.

180416810025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

180416810025 is the 424755-th square number.

180416810025 is the 212378-th centered octagonal number.

It is an amenable number.

180416810025 is a deficient number, since it is larger than the sum of its proper divisors (153812897886).

180416810025 is an frugal number, since it uses more digits than its factorization.

180416810025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18900 (or 9447 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Multiplying 180416810025 by its sum of digits (36), we get a square (6495005160900 = 2548530²).

The spelling of 180416810025 in words is "one hundred eighty billion, four hundred sixteen million, eight hundred ten thousand, twenty-five".