25800852 has 72 divisors (see below), whose sum is σ = 76416480. Its totient is φ = 6699840.

The previous prime is 25800851. The next prime is 25800857.

25800852 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25800851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4474 + ... + 8462.

It is an arithmetic number, because the mean of its divisors is an integer number (1061340).

Almost surely, 2^25800852 is an apocalyptic number.

25800852 is a gapful number since it is divisible by the number (22) 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 25800852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38208240).

25800852 is an abundant number, since it is smaller than the sum of its proper divisors (50615628).

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

25800852 is a wasteful number, since it uses less digits than its factorization.

25800852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4021 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 25800852 is about 5079.4539076558. The cubic root of 25800852 is about 295.4912889917.

The spelling of 25800852 in words is "twenty-five million, eight hundred thousand, eight hundred fifty-two".