180525531688441 has 27 divisors (see below), whose sum is σ = 191596392743301. Its totient is φ = 170079823866744.

The previous prime is 180525531688423. The next prime is 180525531688477. The reversal of 180525531688441 is 144886135525081.

The square root of 180525531688441 is 13435979.

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

180525531688441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 180525531688441 - 2⁹ = 180525531687929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 180525531688441.

It is not an unprimeable number, because it can be changed into a prime (180525531686441) 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, 20704839280 + ... + 20704847998.

Almost surely, 2^{180525531688441} is an apocalyptic number.

180525531688441 is the 13435979-th square number.

180525531688441 is the 6717990-th centered octagonal number.

It is an amenable number.

180525531688441 is a deficient number, since it is larger than the sum of its proper divisors (11070861054860).

180525531688441 is an frugal number, since it uses more digits than its factorization.

180525531688441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17618 (or 8809 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 61.

The spelling of 180525531688441 in words is "one hundred eighty trillion, five hundred twenty-five billion, five hundred thirty-one million, six hundred eighty-eight thousand, four hundred forty-one".