825502860 has 384 divisors, whose sum is σ = 3210762240. Its totient is φ = 171445248.

The previous prime is 825502859. The next prime is 825502901. The reversal of 825502860 is 68205528.

825502860 is a `hidden beast` number, since 82 + 550 + 28 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5257902 + ... + 5258058.

It is an arithmetic number, because the mean of its divisors is an integer number (8361360).

Almost surely, 2^825502860 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 825502860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605381120).

825502860 is an abundant number, since it is smaller than the sum of its proper divisors (2385259380).

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

825502860 is a wasteful number, since it uses less digits than its factorization.

825502860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 825502860 is about 28731.5655682039. The cubic root of 825502860 is about 938.0792452329.

The spelling of 825502860 in words is "eight hundred twenty-five million, five hundred two thousand, eight hundred sixty".