25585500 has 96 divisors (see below), whose sum is σ = 76684608. Its totient is φ = 6624000.

The previous prime is 25585481. The next prime is 25585523. The reversal of 25585500 is 558552.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 55270 + ... + 55730.

It is an arithmetic number, because the mean of its divisors is an integer number (798798).

Almost surely, 2^25585500 is an apocalyptic number.

25585500 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 25585500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38342304).

25585500 is an abundant number, since it is smaller than the sum of its proper divisors (51099108).

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

25585500 is a wasteful number, since it uses less digits than its factorization.

25585500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The square root of 25585500 is about 5058.2111462453. The cubic root of 25585500 is about 294.6668651564. Note that the first 3 decimals are identical.

The spelling of 25585500 in words is "twenty-five million, five hundred eighty-five thousand, five hundred".