825526564 has 24 divisors (see below), whose sum is σ = 1470116480. Its totient is φ = 405526176.

The previous prime is 825526561. The next prime is 825526589. The reversal of 825526564 is 465625528.

It is a self number, because there is not a number n which added to its sum of digits gives 825526564.

It is not an unprimeable number, because it can be changed into a prime (825526561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102517 + ... + 110275.

Almost surely, 2^825526564 is an apocalyptic number.

It is an amenable number.

825526564 is a deficient number, since it is larger than the sum of its proper divisors (644589916).

825526564 is a wasteful number, since it uses less digits than its factorization.

825526564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227 (or 8225 counting only the distinct ones).

The product of its digits is 576000, while the sum is 43.

The square root of 825526564 is about 28731.9780732201. The cubic root of 825526564 is about 938.0882240096.

Adding to 825526564 its product of digits (576000), we get a square (826102564 = 28742²).

The spelling of 825526564 in words is "eight hundred twenty-five million, five hundred twenty-six thousand, five hundred sixty-four".