825053096 has 48 divisors (see below), whose sum is σ = 1826961120. Its totient is φ = 342165600.

The previous prime is 825053077. The next prime is 825053107. The reversal of 825053096 is 690350528.

825053096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×825053096² = 1361425222438370432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46151 + ... + 61481.

It is an arithmetic number, because the mean of its divisors is an integer number (38061690).

Almost surely, 2^825053096 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 825053096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913480560).

825053096 is an abundant number, since it is smaller than the sum of its proper divisors (1001908024).

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

825053096 is a wasteful number, since it uses less digits than its factorization.

825053096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15406 (or 15371 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 825053096 is about 28723.7375005413. The cubic root of 825053096 is about 937.9088477124.

The spelling of 825053096 in words is "eight hundred twenty-five million, fifty-three thousand, ninety-six".