2541529162625 has 16 divisors (see below), whose sum is σ = 3175529612112. Its totient is φ = 2030850755200.

The previous prime is 2541529162567. The next prime is 2541529162639. The reversal of 2541529162625 is 5262619251452.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 769674049 + 2540759488576 = 27743^2 + 1593976^2 .

It is not a de Polignac number, because 2541529162625 - 2⁸ = 2541529162369 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11755322 + ... + 11969571.

It is an arithmetic number, because the mean of its divisors is an integer number (198470600757).

Almost surely, 2^{2541529162625} is an apocalyptic number.

2541529162625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2541529162625 is a deficient number, since it is larger than the sum of its proper divisors (634000449487).

2541529162625 is an equidigital number, since it uses as much as digits as its factorization.

2541529162625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23725765 (or 23725755 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 50.

The spelling of 2541529162625 in words is "two trillion, five hundred forty-one billion, five hundred twenty-nine million, one hundred sixty-two thousand, six hundred twenty-five".