825103080 has 96 divisors (see below), whose sum is σ = 2725617960. Its totient is φ = 216414720.

The previous prime is 825103067. The next prime is 825103091. The reversal of 825103080 is 80301528.

It is a happy number.

825103080 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 658538244 + 166564836 = 25662^2 + 12906^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3174 + ... + 40746.

Almost surely, 2^825103080 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 825103080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362808980).

825103080 is an abundant number, since it is smaller than the sum of its proper divisors (1900514880).

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

825103080 is a wasteful number, since it uses less digits than its factorization.

825103080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37651 (or 37644 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 825103080 is about 28724.6075691209. The cubic root of 825103080 is about 937.9277877012.

The spelling of 825103080 in words is "eight hundred twenty-five million, one hundred three thousand, eighty".