25179025041 has 33 divisors (see below), whose sum is σ = 37826251099. Its totient is φ = 16760310696.

The previous prime is 25179025033. The next prime is 25179025043. The reversal of 25179025041 is 14052097152.

The square root of 25179025041 is 158679.

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

25179025041 is a `hidden beast` number, since 2 + 517 + 90 + 2 + 50 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5859137025 + 19319888016 = 76545^2 + 138996^2 .

It is not a de Polignac number, because 25179025041 - 2³ = 25179025033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 25179024987 and 25179025005.

It is not an unprimeable number, because it can be changed into a prime (25179025043) 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 32 ways as a sum of consecutive naturals, for example, 38558671 + ... + 38559323.

Almost surely, 2^25179025041 is an apocalyptic number.

25179025041 is the 158679-th square number.

25179025041 is the 79340-th centered octagonal number.

It is an amenable number.

25179025041 is a deficient number, since it is larger than the sum of its proper divisors (12647226058).

25179025041 is an frugal number, since it uses more digits than its factorization.

25179025041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Multiplying 25179025041 by its sum of digits (36), we get a square (906444901476 = 952074²).

The spelling of 25179025041 in words is "twenty-five billion, one hundred seventy-nine million, twenty-five thousand, forty-one".