825058056 has 64 divisors (see below), whose sum is σ = 2159308800. Its totient is φ = 262382400.

The previous prime is 825058051. The next prime is 825058063. The reversal of 825058056 is 650850528.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (825058051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45015 + ... + 60633.

It is an arithmetic number, because the mean of its divisors is an integer number (33739200).

Almost surely, 2^825058056 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 825058056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079654400).

825058056 is an abundant number, since it is smaller than the sum of its proper divisors (1334250744).

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

825058056 is a wasteful number, since it uses less digits than its factorization.

825058056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15730 (or 15726 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The square root of 825058056 is about 28723.8238401505. The cubic root of 825058056 is about 937.9107271949.

The spelling of 825058056 in words is "eight hundred twenty-five million, fifty-eight thousand, fifty-six".