2505136125 has 32 divisors (see below), whose sum is σ = 4173691392. Its totient is φ = 1334424000.

The previous prime is 2505136091. The next prime is 2505136147. The reversal of 2505136125 is 5216315052.

It is a happy number.

It is not a de Polignac number, because 2505136125 - 2⁹ = 2505135613 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2505136092 and 2505136101.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 337959 + ... + 345291.

It is an arithmetic number, because the mean of its divisors is an integer number (130427856).

Almost surely, 2^2505136125 is an apocalyptic number.

2505136125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2505136125 is a deficient number, since it is larger than the sum of its proper divisors (1668555267).

2505136125 is an equidigital number, since it uses as much as digits as its factorization.

2505136125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8262 (or 8252 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 2505136125 is about 50051.3348972832. The cubic root of 2505136125 is about 1358.1376117395.

The spelling of 2505136125 in words is "two billion, five hundred five million, one hundred thirty-six thousand, one hundred twenty-five".