25506116225 has 24 divisors (see below), whose sum is σ = 33012648960. Its totient is φ = 19511838720.

The previous prime is 25506116203. The next prime is 25506116297. The reversal of 25506116225 is 52261160552.

It is not a de Polignac number, because 25506116225 - 2⁶ = 25506116161 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3491777 + ... + 3499073.

It is an arithmetic number, because the mean of its divisors is an integer number (1375527040).

Almost surely, 2^25506116225 is an apocalyptic number.

25506116225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25506116225 is a deficient number, since it is larger than the sum of its proper divisors (7506532735).

25506116225 is a wasteful number, since it uses less digits than its factorization.

25506116225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13409 (or 13404 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

Adding to 25506116225 its reverse (52261160552), we get a palindrome (77767276777).

The spelling of 25506116225 in words is "twenty-five billion, five hundred six million, one hundred sixteen thousand, two hundred twenty-five".