25125120 has 144 divisors (see below), whose sum is σ = 89281920. Its totient is φ = 6690816.

The previous prime is 25125083. The next prime is 25125151. The reversal of 25125120 is 2152152.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 25125093 and 25125102.

It is an unprimeable number.

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, 34197 + ... + 34923.

Almost surely, 2^25125120 is an apocalyptic number.

25125120 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 25125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640960).

25125120 is an abundant number, since it is smaller than the sum of its proper divisors (64156800).

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

25125120 is an equidigital number, since it uses as much as digits as its factorization.

25125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 25125120 is about 5012.4963840386. The cubic root of 25125120 is about 292.8887664216. Note that the first 3 decimals are identical.

Adding to 25125120 its reverse (2152152), we get a palindrome (27277272).

The spelling of 25125120 in words is "twenty-five million, one hundred twenty-five thousand, one hundred twenty".