25509280 has 96 divisors (see below), whose sum is σ = 64350720. Its totient is φ = 9538560.

The previous prime is 25509227. The next prime is 25509287. The reversal of 25509280 is 8290552.

It is a happy number.

It is a super-2 number, since 2×25509280² = 1301446732236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (25509287) 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, 183451 + ... + 183589.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 2^25509280 is an apocalyptic number.

25509280 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 25509280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32175360).

25509280 is an abundant number, since it is smaller than the sum of its proper divisors (38841440).

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

25509280 is a wasteful number, since it uses less digits than its factorization.

25509280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 25509280 is about 5050.6712425182. The cubic root of 25509280 is about 294.3739668615.

The spelling of 25509280 in words is "twenty-five million, five hundred nine thousand, two hundred eighty".