25513920 has 112 divisors (see below), whose sum is σ = 90037920. Its totient is φ = 6801408.

The previous prime is 25513871. The next prime is 25513927. The reversal of 25513920 is 2931552.

It is a super-2 number, since 2×25513920² = 1301920227532800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25513927) 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 15 ways as a sum of consecutive naturals, for example, 7164 + ... + 10116.

It is an arithmetic number, because the mean of its divisors is an integer number (803910).

Almost surely, 2^25513920 is an apocalyptic number.

25513920 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 25513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45018960).

25513920 is an abundant number, since it is smaller than the sum of its proper divisors (64524000).

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

25513920 is a wasteful number, since it uses less digits than its factorization.

25513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 25513920 is about 5051.1305665168. The cubic root of 25513920 is about 294.3918141234.

The spelling of 25513920 in words is "twenty-five million, five hundred thirteen thousand, nine hundred twenty".