181131104025 has 81 divisors (see below), whose sum is σ = 344839006551. Its totient is φ = 90866234880.

The previous prime is 181131103987. The next prime is 181131104027. The reversal of 181131104025 is 520401131181.

The square root of 181131104025 is 425595.

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 57474788121 + 123656315904 = 239739^2 + 351648^2 .

It is not a de Polignac number, because 181131104025 - 2²¹ = 181129006873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 181131104025.

It is not an unprimeable number, because it can be changed into a prime (181131104027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 108525891 + ... + 108527559.

Almost surely, 2^181131104025 is an apocalyptic number.

181131104025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

181131104025 is the 425595-th square number.

181131104025 is the 212798-th centered octagonal number.

It is an amenable number.

181131104025 is a deficient number, since it is larger than the sum of its proper divisors (163707902526).

181131104025 is an equidigital number, since it uses as much as digits as its factorization.

181131104025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

It can be divided in two parts, 181131 and 104025, that added together give a square (285156 = 534²).

The spelling of 181131104025 in words is "one hundred eighty-one billion, one hundred thirty-one million, one hundred four thousand, twenty-five".