2556819225 has 27 divisors (see below), whose sum is σ = 4580906239. Its totient is φ = 1363232400.

The previous prime is 2556819169. The next prime is 2556819229. The reversal of 2556819225 is 5229186552.

The square root of 2556819225 is 50565.

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

2556819225 is a `hidden beast` number, since 2 + 556 + 8 + 1 + 92 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 920454921 + 1636364304 = 30339^2 + 40452^2 .

It is not a de Polignac number, because 2556819225 - 2¹¹ = 2556817177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2556819229) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 756790 + ... + 760160.

Almost surely, 2^2556819225 is an apocalyptic number.

2556819225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2556819225 is the 50565-th square number.

2556819225 is the 25283-rd centered octagonal number.

It is an amenable number.

2556819225 is a deficient number, since it is larger than the sum of its proper divisors (2024087014).

2556819225 is an frugal number, since it uses more digits than its factorization.

2556819225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6758 (or 3379 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The cubic root of 2556819225 is about 1367.4139549504.

The spelling of 2556819225 in words is "two billion, five hundred fifty-six million, eight hundred nineteen thousand, two hundred twenty-five".