6856005601 has 9 divisors (see below), whose sum is σ = 7086954609. Its totient is φ = 6632360100.

The previous prime is 6856005593. The next prime is 6856005617. The reversal of 6856005601 is 1065006586.

The square root of 6856005601 is 82801.

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

It is not a de Polignac number, because 6856005601 - 2³ = 6856005593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6856005901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2565496 + ... + 2568166.

It is an arithmetic number, because the mean of its divisors is an integer number (787439401).

Almost surely, 2^6856005601 is an apocalyptic number.

6856005601 is the 82801-st square number.

6856005601 is the 41401-st centered octagonal number.

It is an amenable number.

6856005601 is a deficient number, since it is larger than the sum of its proper divisors (230949008).

6856005601 is an frugal number, since it uses more digits than its factorization.

6856005601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5404 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The cubic root of 6856005601 is about 1899.7234686191.

The spelling of 6856005601 in words is "six billion, eight hundred fifty-six million, five thousand, six hundred one".