25580032 has 40 divisors (see below), whose sum is σ = 52246656. Its totient is φ = 12506112.

The previous prime is 25580021. The next prime is 25580033. The reversal of 25580032 is 23008552.

It is a junction number, because it is equal to n+sod(n) for n = 25579979 and 25580006.

It is not an unprimeable number, because it can be changed into a prime (25580033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23533 + ... + 24595.

Almost surely, 2^25580032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25580032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26123328).

25580032 is an abundant number, since it is smaller than the sum of its proper divisors (26666624).

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

25580032 is an equidigital number, since it uses as much as digits as its factorization.

25580032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 25580032 is about 5057.6706100734. The cubic root of 25580032 is about 294.6458721042.

Adding to 25580032 its reverse (23008552), we get a palindrome (48588584).

The spelling of 25580032 in words is "twenty-five million, five hundred eighty thousand, thirty-two".