825596352 has 168 divisors, whose sum is σ = 2738176896. Its totient is φ = 232948224.

The previous prime is 825596327. The next prime is 825596353. The reversal of 825596352 is 253695528.

825596352 is a `hidden beast` number, since 8 + 2 + 5 + 5 + 9 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 825596298 and 825596307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825596353) by changing a digit.

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, 333423 + ... + 335889.

It is an arithmetic number, because the mean of its divisors is an integer number (16298672).

Almost surely, 2^825596352 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 825596352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369088448).

825596352 is an abundant number, since it is smaller than the sum of its proper divisors (1912580544).

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

825596352 is a wasteful number, since it uses less digits than its factorization.

825596352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2562 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 825596352 is about 28733.1925131893. The cubic root of 825596352 is about 938.1146578274.

The spelling of 825596352 in words is "eight hundred twenty-five million, five hundred ninety-six thousand, three hundred fifty-two".