2566522625 has 16 divisors (see below), whose sum is σ = 3204786000. Its totient is φ = 2052086400.

The previous prime is 2566522619. The next prime is 2566522669. The reversal of 2566522625 is 5262256652.

It can be written as a sum of positive squares in 8 ways, for example, as 1098789904 + 1467732721 = 33148^2 + 38311^2 .

It is not a de Polignac number, because 2566522625 - 2⁸ = 2566522369 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279101 + ... + 288149.

It is an arithmetic number, because the mean of its divisors is an integer number (200299125).

Almost surely, 2^2566522625 is an apocalyptic number.

2566522625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2566522625 is a deficient number, since it is larger than the sum of its proper divisors (638263375).

2566522625 is an equidigital number, since it uses as much as digits as its factorization.

2566522625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11333 (or 11323 counting only the distinct ones).

The product of its digits is 432000, while the sum is 41.

The square root of 2566522625 is about 50660.8589050758. The cubic root of 2566522625 is about 1369.1415982319.

The spelling of 2566522625 in words is "two billion, five hundred sixty-six million, five hundred twenty-two thousand, six hundred twenty-five".