25161120 has 144 divisors (see below), whose sum is σ = 87213672. Its totient is φ = 6604800.

The previous prime is 25161107. The next prime is 25161127. The reversal of 25161120 is 2116152.

25161120 is a `hidden beast` number, since 2 + 51 + 611 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25040016 + 121104 = 5004^2 + 348^2 .

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 = 25161093 and 25161102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25161127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145354 + ... + 145526.

Almost surely, 2^25161120 is an apocalyptic number.

25161120 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 25161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43606836).

25161120 is an abundant number, since it is smaller than the sum of its proper divisors (62052552).

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

25161120 is a wasteful number, since it uses less digits than its factorization.

25161120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 25161120 is about 5016.0861236626. The cubic root of 25161120 is about 293.0285861675.

Adding to 25161120 its reverse (2116152), we get a palindrome (27277272).

It can be divided in two parts, 25161 and 120, that added together give a square (25281 = 159²).

The spelling of 25161120 in words is "twenty-five million, one hundred sixty-one thousand, one hundred twenty".