825684803584 has 135 divisors (see below), whose sum is σ = 1713789562401. Its totient is φ = 397780254720.

The previous prime is 825684803563. The next prime is 825684803597. The reversal of 825684803584 is 485308486528.

The square root of 825684803584 is 908672.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 769002717184 + 56682086400 = 876928^2 + 238080^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3605610382 + ... + 3605610610.

Almost surely, 2^825684803584 is an apocalyptic number.

825684803584 is the 908672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825684803584

825684803584 is an abundant number, since it is smaller than the sum of its proper divisors (888104758817).

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

825684803584 is an frugal number, since it uses more digits than its factorization.

825684803584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 61.

The spelling of 825684803584 in words is "eight hundred twenty-five billion, six hundred eighty-four million, eight hundred three thousand, five hundred eighty-four".