180461743296025 has 27 divisors (see below), whose sum is σ = 224355174195351. Its totient is φ = 143994489588480.

The previous prime is 180461743296013. The next prime is 180461743296067. The reversal of 180461743296025 is 520692347164081.

The square root of 180461743296025 is 13433605.

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

It can be written as a sum of positive squares in 13 ways, for example, as 99959042569 + 180361784253456 = 316163^2 + 13429884^2 .

It is not a de Polignac number, because 180461743296025 - 2⁵ = 180461743295993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27471718941 + ... + 27471725509.

It is a 1-persistent number, because it is pandigital, but 2⋅180461743296025 = 360923486592050 is not.

Almost surely, 2^{180461743296025} is an apocalyptic number.

180461743296025 is the 13433605-th square number.

180461743296025 is the 6716803-rd centered octagonal number.

It is an amenable number.

180461743296025 is a deficient number, since it is larger than the sum of its proper divisors (43893430899326).

180461743296025 is an frugal number, since it uses more digits than its factorization.

180461743296025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13966 (or 6983 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 180461743296025 in words is "one hundred eighty trillion, four hundred sixty-one billion, seven hundred forty-three million, two hundred ninety-six thousand, twenty-five".