2563903225 has 81 divisors (see below), whose sum is σ = 3724114599. Its totient is φ = 1749945600.

The previous prime is 2563903213. The next prime is 2563903231. The reversal of 2563903225 is 5223093652.

The square root of 2563903225 is 50635.

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

2563903225 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 13 ways, for example, as 2323529209 + 240374016 = 48203^2 + 15504^2 .

It is not a de Polignac number, because 2563903225 - 2²⁷ = 2429685497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 62534205 + ... + 62534245.

Almost surely, 2^2563903225 is an apocalyptic number.

2563903225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2563903225 is the 50635-th square number.

2563903225 is the 25318-th centered octagonal number.

It is an amenable number.

2563903225 is a deficient number, since it is larger than the sum of its proper divisors (1160211374).

2563903225 is a wasteful number, since it uses less digits than its factorization.

2563903225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The cubic root of 2563903225 is about 1368.6756564640.

Adding to 2563903225 its reverse (5223093652), we get a palindrome (7786996877).

The spelling of 2563903225 in words is "two billion, five hundred sixty-three million, nine hundred three thousand, two hundred twenty-five".