825644822500 has 135 divisors (see below), whose sum is σ = 1919770491639. Its totient is φ = 310540224000.

The previous prime is 825644822489. The next prime is 825644822531. The reversal of 825644822500 is 5228446528.

The square root of 825644822500 is 908650.

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

It can be written as a sum of positive squares in 22 ways, for example, as 825288670116 + 356152384 = 908454^2 + 18872^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 772351966 + ... + 772353034.

Almost surely, 2^825644822500 is an apocalyptic number.

825644822500 is the 908650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825644822500

825644822500 is an abundant number, since it is smaller than the sum of its proper divisors (1094125669139).

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

825644822500 is an equidigital number, since it uses as much as digits as its factorization.

825644822500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 46.

The spelling of 825644822500 in words is "eight hundred twenty-five billion, six hundred forty-four million, eight hundred twenty-two thousand, five hundred".