181401704417025 has 63 divisors (see below), whose sum is σ = 337256272113331. Its totient is φ = 96746605953840.

The previous prime is 181401704416963. The next prime is 181401704417029. The reversal of 181401704417025 is 520714407104181.

The square root of 181401704417025 is 13468545.

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

181401704417025 is a `hidden beast` number, since 1 + 8 + 1 + 40 + 170 + 4 + 417 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65304613590129 + 116097090826896 = 8081127^2 + 10774836^2 .

It is a de Polignac number, because none of the positive numbers 2^k-181401704417025 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (181401704417029) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1818203692 + ... + 1818303458.

Almost surely, 2^{181401704417025} is an apocalyptic number.

181401704417025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

181401704417025 is the 13468545-th square number.

181401704417025 is the 6734273-rd centered octagonal number.

It is an amenable number.

181401704417025 is a deficient number, since it is larger than the sum of its proper divisors (155854567696306).

181401704417025 is an frugal number, since it uses more digits than its factorization.

181401704417025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199562 (or 99775 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 181401704417025 in words is "one hundred eighty-one trillion, four hundred one billion, seven hundred four million, four hundred seventeen thousand, twenty-five".