25262120 has 96 divisors (see below), whose sum is σ = 63837720. Its totient is φ = 8985600.

The previous prime is 25262057. The next prime is 25262131. The reversal of 25262120 is 2126252.

It can be written as a sum of positive squares in 12 ways, for example, as 4813636 + 20448484 = 2194^2 + 4522^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 25262092 and 25262101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250070 + ... + 250170.

Almost surely, 2^25262120 is an apocalyptic number.

25262120 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 25262120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31918860).

25262120 is an abundant number, since it is smaller than the sum of its proper divisors (38575600).

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

25262120 is a wasteful number, since it uses less digits than its factorization.

25262120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 25262120 is about 5026.1436509515. The cubic root of 25262120 is about 293.4201476282.

Adding to 25262120 its reverse (2126252), we get a palindrome (27388372).

The spelling of 25262120 in words is "twenty-five million, two hundred sixty-two thousand, one hundred twenty".