725631425181 has 48 divisors (see below), whose sum is σ = 1144653300336. Its totient is φ = 440295948288.

The previous prime is 725631425147. The next prime is 725631425213. The reversal of 725631425181 is 181524136527.

725631425181 is a `hidden beast` number, since 7 + 2 + 5 + 6 + 314 + 251 + 81 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 137764199556 + 587867225625 = 371166^2 + 766725^2 .

It is not a de Polignac number, because 725631425181 - 2²⁵ = 725597870749 is a prime.

It is a super-2 number, since 2×725631425181² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725631425111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2409465 + ... + 2693841.

It is an arithmetic number, because the mean of its divisors is an integer number (23846943757).

Almost surely, 2^725631425181 is an apocalyptic number.

It is an amenable number.

725631425181 is a deficient number, since it is larger than the sum of its proper divisors (419021875155).

725631425181 is a wasteful number, since it uses less digits than its factorization.

725631425181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284702 (or 284699 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 725631425181 in words is "seven hundred twenty-five billion, six hundred thirty-one million, four hundred twenty-five thousand, one hundred eighty-one".