656585656 has 16 divisors (see below), whose sum is σ = 1235892240. Its totient is φ = 327014400.

The previous prime is 656585653. The next prime is 656585681.

656585656 is nontrivially palindromic in base 10.

656585656 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 3×656585656³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656585651) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 157620 + ... + 161731.

It is an arithmetic number, because the mean of its divisors is an integer number (77243265).

Almost surely, 2^656585656 is an apocalyptic number.

It is an amenable number.

656585656 is a deficient number, since it is larger than the sum of its proper divisors (579306584).

656585656 is a wasteful number, since it uses less digits than its factorization.

656585656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319614 (or 319610 counting only the distinct ones).

The product of its digits is 6480000, while the sum is 52.

The square root of 656585656 is about 25623.9274116986. The cubic root of 656585656 is about 869.1547945974.

The spelling of 656585656 in words is "six hundred fifty-six million, five hundred eighty-five thousand, six hundred fifty-six".