825257566 has 32 divisors (see below), whose sum is σ = 1437903360. Its totient is φ = 347911200.

The previous prime is 825257561. The next prime is 825257569. The reversal of 825257566 is 665752528.

825257566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×825257566³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825257561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704161 + ... + 705331.

It is an arithmetic number, because the mean of its divisors is an integer number (44934480).

Almost surely, 2^825257566 is an apocalyptic number.

825257566 is a deficient number, since it is larger than the sum of its proper divisors (612645794).

825257566 is a wasteful number, since it uses less digits than its factorization.

825257566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960.

The product of its digits is 1008000, while the sum is 46.

The square root of 825257566 is about 28727.2965313480. The cubic root of 825257566 is about 937.9863208605.

The spelling of 825257566 in words is "eight hundred twenty-five million, two hundred fifty-seven thousand, five hundred sixty-six".