825524964 has 144 divisors (see below), whose sum is σ = 2429481600. Its totient is φ = 233579520.

The previous prime is 825524951. The next prime is 825524989. The reversal of 825524964 is 469425528.

825524964 is a `hidden beast` number, since 8 + 2 + 552 + 4 + 96 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1002657 + ... + 1003479.

It is an arithmetic number, because the mean of its divisors is an integer number (16871400).

Almost surely, 2^825524964 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 825524964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214740800).

825524964 is an abundant number, since it is smaller than the sum of its proper divisors (1603956636).

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

825524964 is a wasteful number, since it uses less digits than its factorization.

825524964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1005 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 825524964 is about 28731.9502296659. The cubic root of 825524964 is about 938.0876179552.

The spelling of 825524964 in words is "eight hundred twenty-five million, five hundred twenty-four thousand, nine hundred sixty-four".