2563884225 has 96 divisors (see below), whose sum is σ = 5666304000. Its totient is φ = 1110335040.

The previous prime is 2563884209. The next prime is 2563884227. The reversal of 2563884225 is 5224883652.

2563884225 is a `hidden beast` number, since 2 + 5 + 638 + 8 + 4 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 2563884225 - 2⁴ = 2563884209 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2563884227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75496 + ... + 104054.

It is an arithmetic number, because the mean of its divisors is an integer number (59024000).

Almost surely, 2^2563884225 is an apocalyptic number.

2563884225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2563884225 is an abundant number, since it is smaller than the sum of its proper divisors (3102419775).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2563884225 is a wasteful number, since it uses less digits than its factorization.

2563884225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28604 (or 28593 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 2563884225 is about 50634.8123823916. The cubic root of 2563884225 is about 1368.6722755640.

The spelling of 2563884225 in words is "two billion, five hundred sixty-three million, eight hundred eighty-four thousand, two hundred twenty-five".