25813120 has 64 divisors (see below), whose sum is σ = 62956440. Its totient is φ = 10117120.

The previous prime is 25813097. The next prime is 25813121. The reversal of 25813120 is 2131852.

It can be written as a sum of positive squares in 4 ways, for example, as 14684224 + 11128896 = 3832^2 + 3336^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 25813091 and 25813100.

It is not an unprimeable number, because it can be changed into a prime (25813121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33540 + ... + 34300.

Almost surely, 2^25813120 is an apocalyptic number.

25813120 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 25813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31478220).

25813120 is an abundant number, since it is smaller than the sum of its proper divisors (37143320).

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

25813120 is an equidigital number, since it uses as much as digits as its factorization.

25813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 25813120 is about 5080.6613742701. The cubic root of 25813120 is about 295.5381157751.

Adding to 25813120 its reverse (2131852), we get a palindrome (27944972).

The spelling of 25813120 in words is "twenty-five million, eight hundred thirteen thousand, one hundred twenty".