825209568 has 36 divisors (see below), whose sum is σ = 2346690528. Its totient is φ = 275069760.

The previous prime is 825209549. The next prime is 825209591. The reversal of 825209568 is 865902528.

825209568 is a `hidden beast` number, since 82 + 5 + 2 + 0 + 9 + 568 = 666.

825209568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×825209568² = 1361941662237493248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1432368 + ... + 1432943.

It is an arithmetic number, because the mean of its divisors is an integer number (65185848).

Almost surely, 2^825209568 is an apocalyptic number.

It is an amenable number.

825209568 is an abundant number, since it is smaller than the sum of its proper divisors (1521480960).

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

825209568 is a wasteful number, since it uses less digits than its factorization.

825209568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865327 (or 2865316 counting only the distinct ones).

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

The square root of 825209568 is about 28726.4611116650. The cubic root of 825209568 is about 937.9681356933.

The spelling of 825209568 in words is "eight hundred twenty-five million, two hundred nine thousand, five hundred sixty-eight".