25351120 has 80 divisors (see below), whose sum is σ = 61871040. Its totient is φ = 9651200.

The previous prime is 25351103. The next prime is 25351121. The reversal of 25351120 is 2115352.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25351121) 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, 193455 + ... + 193585.

It is an arithmetic number, because the mean of its divisors is an integer number (773388).

Almost surely, 2^25351120 is an apocalyptic number.

25351120 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 25351120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30935520).

25351120 is an abundant number, since it is smaller than the sum of its proper divisors (36519920).

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

25351120 is a wasteful number, since it uses less digits than its factorization.

25351120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 25351120 is about 5034.9895729783. The cubic root of 25351120 is about 293.7643228266.

Adding to 25351120 its reverse (2115352), we get a palindrome (27466472).

It can be divided in two parts, 2535 and 1120, that added together give a triangular number (3655 = T₈₅).

The spelling of 25351120 in words is "twenty-five million, three hundred fifty-one thousand, one hundred twenty".