25838955025 has 27 divisors (see below), whose sum is σ = 34708565619. Its totient is φ = 19073358720.

The previous prime is 25838954971. The next prime is 25838955041. The reversal of 25838955025 is 52055983852.

It is a happy number.

The square root of 25838955025 is 160745.

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 19696157649 + 6142797376 = 140343^2 + 78376^2 .

It is not a de Polignac number, because 25838955025 - 2¹⁵ = 25838922257 is a prime.

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 26 ways as a sum of consecutive naturals, for example, 10447189 + ... + 10449661.

Almost surely, 2^25838955025 is an apocalyptic number.

25838955025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25838955025 is the 160745-th square number.

25838955025 is the 80373-rd centered octagonal number.

It is an amenable number.

25838955025 is a deficient number, since it is larger than the sum of its proper divisors (8869610594).

25838955025 is an frugal number, since it uses more digits than its factorization.

25838955025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4982 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 52.

The spelling of 25838955025 in words is "twenty-five billion, eight hundred thirty-eight million, nine hundred fifty-five thousand, twenty-five".