2631541825 has 24 divisors (see below), whose sum is σ = 3567959136. Its totient is φ = 1909440000.

The previous prime is 2631541817. The next prime is 2631541837. The reversal of 2631541825 is 5281451362.

It is not a de Polignac number, because 2631541825 - 2³ = 2631541817 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111025 + ... + 132625.

It is an arithmetic number, because the mean of its divisors is an integer number (148664964).

Almost surely, 2^2631541825 is an apocalyptic number.

2631541825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2631541825 is a deficient number, since it is larger than the sum of its proper divisors (936417311).

2631541825 is a wasteful number, since it uses less digits than its factorization.

2631541825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22065 (or 22060 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 2631541825 is about 51298.5557788911. Note that the first 3 decimals coincide. The cubic root of 2631541825 is about 1380.6070676779.

The spelling of 2631541825 in words is "two billion, six hundred thirty-one million, five hundred forty-one thousand, eight hundred twenty-five".