2568086375625 has 135 divisors (see below), whose sum is σ = 4850859352339. Its totient is φ = 1308686016000.

The previous prime is 2568086375623. The next prime is 2568086375627. The reversal of 2568086375625 is 5265736808652.

The square root of 2568086375625 is 1602525.

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

2568086375625 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 0 + 8 + 63 + 7 + 562 + 5 = 666.

2568086375625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2568086375623) and next prime (2568086375627).

It can be written as a sum of positive squares in 7 ways, for example, as 2514847273929 + 53239101696 = 1585827^2 + 230736^2 .

It is not a de Polignac number, because 2568086375625 - 2¹ = 2568086375623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2568086375623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2764355161 + ... + 2764356089.

Almost surely, 2^{2568086375625} is an apocalyptic number.

2568086375625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2568086375625 is the 1602525-th square number.

2568086375625 is the 801263-rd centered octagonal number.

It is an amenable number.

2568086375625 is a deficient number, since it is larger than the sum of its proper divisors (2282772976714).

2568086375625 is an frugal number, since it uses more digits than its factorization.

2568086375625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 2568086375625 in words is "two trillion, five hundred sixty-eight billion, eighty-six million, three hundred seventy-five thousand, six hundred twenty-five".