2565208625 has 64 divisors (see below), whose sum is σ = 3893101056. Its totient is φ = 1647360000.

The previous prime is 2565208619. The next prime is 2565208649. The reversal of 2565208625 is 5268025652.

It is not a de Polignac number, because 2565208625 - 2⁴ = 2565208609 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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4923365 + ... + 4923885.

It is an arithmetic number, because the mean of its divisors is an integer number (60829704).

Almost surely, 2^2565208625 is an apocalyptic number.

2565208625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2565208625 is a deficient number, since it is larger than the sum of its proper divisors (1327892431).

2565208625 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 2565208625 = (6552802625)₉.

2565208625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The square root of 2565208625 is about 50647.8886529340. Note that the first 3 decimals coincide. The cubic root of 2565208625 is about 1368.9079021075.

The spelling of 2565208625 in words is "two billion, five hundred sixty-five million, two hundred eight thousand, six hundred twenty-five".