25538500 has 48 divisors (see below), whose sum is σ = 60081840. Its totient is φ = 9427200.

The previous prime is 25538483. The next prime is 25538501. The reversal of 25538500 is 583552.

It can be written as a sum of positive squares in 8 ways, for example, as 18096516 + 7441984 = 4254^2 + 2728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25538501) 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 15 ways as a sum of consecutive naturals, for example, 4536 + ... + 8464.

It is an arithmetic number, because the mean of its divisors is an integer number (1251705).

Almost surely, 2^25538500 is an apocalyptic number.

25538500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25538500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30040920).

25538500 is an abundant number, since it is smaller than the sum of its proper divisors (34543340).

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

25538500 is a wasteful number, since it uses less digits than its factorization.

25538500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 25538500 is about 5053.5630994379. The cubic root of 25538500 is about 294.4863223797.

The spelling of 25538500 in words is "twenty-five million, five hundred thirty-eight thousand, five hundred".