25052800 has 48 divisors (see below), whose sum is σ = 61896150. Its totient is φ = 10019840.

The previous prime is 25052749. The next prime is 25052801. The reversal of 25052800 is 825052.

It can be written as a sum of positive squares in 3 ways, for example, as 13601344 + 11451456 = 3688^2 + 3384^2 .

It is not an unprimeable number, because it can be changed into a prime (25052801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 715 + ... + 7114.

Almost surely, 2^25052800 is an apocalyptic number.

25052800 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 25052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30948075).

25052800 is an abundant number, since it is smaller than the sum of its proper divisors (36843350).

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

25052800 is an equidigital number, since it uses as much as digits as its factorization.

25052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7853 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 25052800 is about 5005.2772151001. The cubic root of 25052800 is about 292.6074799209.

Adding to 25052800 its reverse (825052), we get a palindrome (25877852).

It can be divided in two parts, 25052 and 800, that added together give a palindrome (25852).

The spelling of 25052800 in words is "twenty-five million, fifty-two thousand, eight hundred".