859534806321 has 9 divisors (see below), whose sum is σ = 1241554293291. Its totient is φ = 573021349992.

The previous prime is 859534806313. The next prime is 859534806359. The reversal of 859534806321 is 123608435958.

The square root of 859534806321 is 927111.

It is a perfect power (a square), and thus also a powerful number.

859534806321 is a `hidden beast` number, since 8 + 5 + 9 + 534 + 80 + 6 + 3 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10254600225 + 849280206096 = 101265^2 + 921564^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 859534806321 - 2³ = 859534806313 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (859534804321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2626815 + ... + 2935851.

Almost surely, 2^859534806321 is an apocalyptic number.

859534806321 is the 927111-st square number.

859534806321 is the 463556-th centered octagonal number.

It is an amenable number.

859534806321 is a deficient number, since it is larger than the sum of its proper divisors (382019486970).

859534806321 is an frugal number, since it uses more digits than its factorization.

859534806321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618080 (or 309040 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 859534806321 in words is "eight hundred fifty-nine billion, five hundred thirty-four million, eight hundred six thousand, three hundred twenty-one".