825510280 has 64 divisors (see below), whose sum is σ = 2151872640. Its totient is φ = 279148032.

The previous prime is 825510223. The next prime is 825510331. The reversal of 825510280 is 82015528.

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, 247 + ... + 40633.

It is an arithmetic number, because the mean of its divisors is an integer number (33623010).

Almost surely, 2^825510280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825510280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075936320).

825510280 is an abundant number, since it is smaller than the sum of its proper divisors (1326362360).

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

825510280 is a wasteful number, since it uses less digits than its factorization.

825510280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40478 (or 40474 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 825510280 is about 28731.6946941875. The cubic root of 825510280 is about 938.0820558540.

The spelling of 825510280 in words is "eight hundred twenty-five million, five hundred ten thousand, two hundred eighty".