825666528 has 96 divisors (see below), whose sum is σ = 2246136480. Its totient is φ = 265379840.

The previous prime is 825666503. The next prime is 825666529.

825666528 is nontrivially palindromic in base 10.

825666528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825666529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349126 + ... + 351482.

It is an arithmetic number, because the mean of its divisors is an integer number (23397255).

Almost surely, 2^825666528 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 825666528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123068240).

825666528 is an abundant number, since it is smaller than the sum of its proper divisors (1420469952).

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

825666528 is a wasteful number, since it uses less digits than its factorization.

825666528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2492 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 825666528 is about 28734.4136533182. The cubic root of 825666528 is about 938.1412371071.

The spelling of 825666528 in words is "eight hundred twenty-five million, six hundred sixty-six thousand, five hundred twenty-eight".