825195384 has 128 divisors (see below), whose sum is σ = 2598624000. Its totient is φ = 240527232.

The previous prime is 825195347. The next prime is 825195401. The reversal of 825195384 is 483591528.

825195384 is a `hidden beast` number, since 8 + 2 + 519 + 53 + 84 = 666.

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, 45619 + ... + 61085.

It is an arithmetic number, because the mean of its divisors is an integer number (20301750).

Almost surely, 2^825195384 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 825195384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299312000).

825195384 is an abundant number, since it is smaller than the sum of its proper divisors (1773428616).

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

825195384 is a wasteful number, since it uses less digits than its factorization.

825195384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15514 (or 15504 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 825195384 is about 28726.2142302114. The cubic root of 825195384 is about 937.9627616175.

The spelling of 825195384 in words is "eight hundred twenty-five million, one hundred ninety-five thousand, three hundred eighty-four".