825493032 has 160 divisors (see below), whose sum is σ = 2845920000. Its totient is φ = 217696896.

The previous prime is 825493027. The next prime is 825493049. The reversal of 825493032 is 230394528.

825493032 is a `hidden beast` number, since 82 + 549 + 3 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51969 + ... + 65967.

It is an arithmetic number, because the mean of its divisors is an integer number (17787000).

Almost surely, 2^825493032 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 825493032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422960000).

825493032 is an abundant number, since it is smaller than the sum of its proper divisors (2020426968).

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

825493032 is a wasteful number, since it uses less digits than its factorization.

825493032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14037 (or 14024 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 825493032 is about 28731.3945362908. The cubic root of 825493032 is about 938.0755224599.

The spelling of 825493032 in words is "eight hundred twenty-five million, four hundred ninety-three thousand, thirty-two".