2553456625 has 8 divisors (see below), whose sum is σ = 3186714024. Its totient is φ = 2042765200.

The previous prime is 2553456611. The next prime is 2553456629. The reversal of 2553456625 is 5266543552.

2553456625 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 2903616 + 2550553009 = 1704^2 + 50503^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2553456625 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2553456629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10213702 + ... + 10213951.

It is an arithmetic number, because the mean of its divisors is an integer number (398339253).

Almost surely, 2^2553456625 is an apocalyptic number.

2553456625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2553456625 is a deficient number, since it is larger than the sum of its proper divisors (633257399).

2553456625 is an equidigital number, since it uses as much as digits as its factorization.

2553456625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20427668 (or 20427658 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 43.

The square root of 2553456625 is about 50531.7387886069. The cubic root of 2553456625 is about 1366.8142406245.

The spelling of 2553456625 in words is "two billion, five hundred fifty-three million, four hundred fifty-six thousand, six hundred twenty-five".