825325160 has 64 divisors (see below), whose sum is σ = 2034892800. Its totient is φ = 298771200.

The previous prime is 825325157. The next prime is 825325177. The reversal of 825325160 is 61523528.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96665 + ... + 104855.

It is an arithmetic number, because the mean of its divisors is an integer number (31795200).

Almost surely, 2^825325160 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 825325160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017446400).

825325160 is an abundant number, since it is smaller than the sum of its proper divisors (1209567640).

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

825325160 is a wasteful number, since it uses less digits than its factorization.

825325160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8442 (or 8438 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 825325160 is about 28728.4729841320. The cubic root of 825325160 is about 938.0119292358.

Adding to 825325160 its reverse (61523528), we get a palindrome (886848688).

The spelling of 825325160 in words is "eight hundred twenty-five million, three hundred twenty-five thousand, one hundred sixty".