825527824 has 45 divisors (see below), whose sum is σ = 1760780749. Its totient is φ = 374665280.

The previous prime is 825527821. The next prime is 825527849. The reversal of 825527824 is 428725528.

The square root of 825527824 is 28732.

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., 192099600 + 633428224 = 13860^2 + 25168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825527821) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1263882 + ... + 1264534.

Almost surely, 2^825527824 is an apocalyptic number.

825527824 is the 28732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825527824

825527824 is an abundant number, since it is smaller than the sum of its proper divisors (935252925).

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

825527824 is an equidigital number, since it uses as much as digits as its factorization.

825527824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 666 counting only the distinct ones).

The product of its digits is 358400, while the sum is 43.

The cubic root of 825527824 is about 938.0887012770.

The spelling of 825527824 in words is "eight hundred twenty-five million, five hundred twenty-seven thousand, eight hundred twenty-four".