2656365625 has 24 divisors (see below), whose sum is σ = 3327583896. Its totient is φ = 2120400000.

The previous prime is 2656365619. The next prime is 2656365641. The reversal of 2656365625 is 5265636562.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1770053184 + 886312441 = 42072^2 + 29771^2 .

It is not a de Polignac number, because 2656365625 - 2⁷ = 2656365497 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 23 ways as a sum of consecutive naturals, for example, 2377567 + ... + 2378683.

It is an arithmetic number, because the mean of its divisors is an integer number (138649329).

Almost surely, 2^2656365625 is an apocalyptic number.

2656365625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2656365625 is a deficient number, since it is larger than the sum of its proper divisors (671218271).

2656365625 is an frugal number, since it uses more digits than its factorization.

2656365625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1883 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 46.

The square root of 2656365625 is about 51539.9420352798. The cubic root of 2656365625 is about 1384.9346587358.

The spelling of 2656365625 in words is "two billion, six hundred fifty-six million, three hundred sixty-five thousand, six hundred twenty-five".