825202528 has 48 divisors (see below), whose sum is σ = 1721790000. Its totient is φ = 388219392.

The previous prime is 825202523. The next prime is 825202537.

825202528 is nontrivially palindromic in base 10.

825202528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 825202493 and 825202502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825202523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86038 + ... + 95146.

It is an arithmetic number, because the mean of its divisors is an integer number (35870625).

Almost surely, 2^825202528 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 825202528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860895000).

825202528 is an abundant number, since it is smaller than the sum of its proper divisors (896587472).

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

825202528 is a wasteful number, since it uses less digits than its factorization.

825202528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9287 (or 9279 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 825202528 is about 28726.3385762961. The cubic root of 825202528 is about 937.9654683650.

The spelling of 825202528 in words is "eight hundred twenty-five million, two hundred two thousand, five hundred twenty-eight".