25313120 has 96 divisors (see below), whose sum is σ = 69346368. Its totient is φ = 8552448.

The previous prime is 25313107. The next prime is 25313129. The reversal of 25313120 is 2131352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25313129) 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, 108524 + ... + 108756.

It is an arithmetic number, because the mean of its divisors is an integer number (722358).

Almost surely, 2^25313120 is an apocalyptic number.

25313120 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 25313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34673184).

25313120 is an abundant number, since it is smaller than the sum of its proper divisors (44033248).

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

25313120 is a wasteful number, since it uses less digits than its factorization.

25313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 25313120 is about 5031.2145650926. The cubic root of 25313120 is about 293.6174703204.

Adding to 25313120 its reverse (2131352), we get a palindrome (27444472).

The spelling of 25313120 in words is "twenty-five million, three hundred thirteen thousand, one hundred twenty".