2809830825025 has 81 divisors (see below), whose sum is σ = 4145175114339. Its totient is φ = 1883896059360.

The previous prime is 2809830825017. The next prime is 2809830825047. The reversal of 2809830825025 is 5205280389082.

The square root of 2809830825025 is 1676255.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1011539097009 + 1798291728016 = 1005753^2 + 1341004^2 .

It is not a de Polignac number, because 2809830825025 - 2³ = 2809830825017 is a prime.

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 80 ways as a sum of consecutive naturals, for example, 2757438966 + ... + 2757439984.

Almost surely, 2^{2809830825025} is an apocalyptic number.

2809830825025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2809830825025 is the 1676255-th square number.

2809830825025 is the 838128-th centered octagonal number.

It is an amenable number.

2809830825025 is a deficient number, since it is larger than the sum of its proper divisors (1335344289314).

2809830825025 is an frugal number, since it uses more digits than its factorization.

2809830825025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 52.

The spelling of 2809830825025 in words is "two trillion, eight hundred nine billion, eight hundred thirty million, eight hundred twenty-five thousand, twenty-five".