25765625 has 28 divisors (see below), whose sum is σ = 34452684. Its totient is φ = 19200000.

The previous prime is 25765609. The next prime is 25765631. The reversal of 25765625 is 52656752.

It can be written as a sum of positive squares in 14 ways, for example, as 23464336 + 2301289 = 4844^2 + 1517^2 .

It is not a de Polignac number, because 25765625 - 2⁴ = 25765609 is a prime.

It is a Duffinian number.

Its product of digits (126000) is a multiple of the sum of its prime factors (144).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 265577 + ... + 265673.

It is an arithmetic number, because the mean of its divisors is an integer number (1230453).

Almost surely, 2^25765625 is an apocalyptic number.

25765625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25765625 is a deficient number, since it is larger than the sum of its proper divisors (8687059).

25765625 is an frugal number, since it uses more digits than its factorization.

25765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its digits is 126000, while the sum is 38.

The square root of 25765625 is about 5075.9851260617. The cubic root of 25765625 is about 295.3567454678.

It can be divided in two parts, 25 and 765625, that multiplied together give a square (19140625 = 4375²).

The spelling of 25765625 in words is "twenty-five million, seven hundred sixty-five thousand, six hundred twenty-five".