2528082825 has 24 divisors (see below), whose sum is σ = 4226738400. Its totient is φ = 1333157760.

The previous prime is 2528082787. The next prime is 2528082839. The reversal of 2528082825 is 5282808252.

It is not a de Polignac number, because 2528082825 - 2⁶ = 2528082761 is a prime.

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 182695 + ... + 196044.

It is an arithmetic number, because the mean of its divisors is an integer number (176114100).

Almost surely, 2^2528082825 is an apocalyptic number.

2528082825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2528082825 is a deficient number, since it is larger than the sum of its proper divisors (1698655575).

2528082825 is a wasteful number, since it uses less digits than its factorization.

2528082825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378841 (or 378836 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The square root of 2528082825 is about 50280.0440035607. The cubic root of 2528082825 is about 1362.2717986076.

The spelling of 2528082825 in words is "two billion, five hundred twenty-eight million, eighty-two thousand, eight hundred twenty-five".