825534433528 has 128 divisors (see below), whose sum is σ = 1880190144000. Its totient is φ = 331929722880.

The previous prime is 825534433483. The next prime is 825534433543. The reversal of 825534433528 is 825334435528.

825534433528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194653488 + ... + 194657728.

It is an arithmetic number, because the mean of its divisors is an integer number (14688985500).

Almost surely, 2^825534433528 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 825534433528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940095072000).

825534433528 is an abundant number, since it is smaller than the sum of its proper divisors (1054655710472).

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

825534433528 is a wasteful number, since it uses less digits than its factorization.

825534433528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6005 (or 6001 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 52.

The spelling of 825534433528 in words is "eight hundred twenty-five billion, five hundred thirty-four million, four hundred thirty-three thousand, five hundred twenty-eight".