25800390625 has 27 divisors (see below), whose sum is σ = 32376448267. Its totient is φ = 20560000000.

The previous prime is 25800390613. The next prime is 25800390641. The reversal of 25800390625 is 52609300852.

The square root of 25800390625 is 160625.

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

It can be written as a sum of positive squares in 13 ways, for example, as 15285118689 + 10515271936 = 123633^2 + 102544^2 .

It is not a de Polignac number, because 25800390625 - 2⁹ = 25800390113 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 26 ways as a sum of consecutive naturals, for example, 100390497 + ... + 100390753.

Almost surely, 2^25800390625 is an apocalyptic number.

25800390625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25800390625 is the 160625-th square number.

25800390625 is the 80313-rd centered octagonal number.

It is an amenable number.

25800390625 is a deficient number, since it is larger than the sum of its proper divisors (6576057642).

25800390625 is an frugal number, since it uses more digits than its factorization.

25800390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 25800390625 in words is "twenty-five billion, eight hundred million, three hundred ninety thousand, six hundred twenty-five".