825493394528 has 48 divisors (see below), whose sum is σ = 1790147713536. Its totient is φ = 371581299840.

The previous prime is 825493394521. The next prime is 825493394563.

825493394528 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825493394521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11347976 + ... + 11420487.

It is an arithmetic number, because the mean of its divisors is an integer number (37294744032).

Almost surely, 2^825493394528 is an apocalyptic number.

825493394528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

825493394528 is an abundant number, since it is smaller than the sum of its proper divisors (964654319008).

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

825493394528 is a wasteful number, since it uses less digits than its factorization.

825493394528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22768587 (or 22768579 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 62.

The spelling of 825493394528 in words is "eight hundred twenty-five billion, four hundred ninety-three million, three hundred ninety-four thousand, five hundred twenty-eight".