2564414001625 has 24 divisors (see below), whose sum is σ = 3722901119496. Its totient is φ = 1758455311200.

The previous prime is 2564414001623. The next prime is 2564414001629. The reversal of 2564414001625 is 5261004144652.

2564414001625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 367603929 + 2564046397696 = 19173^2 + 1601264^2 .

It is not a de Polignac number, because 2564414001625 - 2¹ = 2564414001623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2564414001623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209333794 + ... + 209346043.

It is an arithmetic number, because the mean of its divisors is an integer number (155120879979).

Almost surely, 2^{2564414001625} is an apocalyptic number.

2564414001625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2564414001625 is a deficient number, since it is larger than the sum of its proper divisors (1158487117871).

2564414001625 is an equidigital number, since it uses as much as digits as its factorization.

2564414001625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418679866 (or 418679849 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 2564414001625 in words is "two trillion, five hundred sixty-four billion, four hundred fourteen million, one thousand, six hundred twenty-five".