63085866561 has 27 divisors (see below), whose sum is σ = 94407290211. Its totient is φ = 40592929104.

The previous prime is 63085866541. The next prime is 63085866581. The reversal of 63085866561 is 16566858036.

The square root of 63085866561 is 251169.

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

63085866561 is a `hidden beast` number, since 6 + 3 + 0 + 8 + 586 + 6 + 56 + 1 = 666.

63085866561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (63085866541) and next prime (63085866581).

It can be written as a sum of positive squares in only one way, i.e., 33080698161 + 30005168400 = 181881^2 + 173220^2 .

It is not a de Polignac number, because 63085866561 - 2¹³ = 63085858369 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 63085866498 and 63085866507.

It is not an unprimeable number, because it can be changed into a prime (63085866541) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21850260 + ... + 21853146.

Almost surely, 2^63085866561 is an apocalyptic number.

63085866561 is the 251169-th square number.

63085866561 is the 125585-th centered octagonal number.

It is an amenable number.

63085866561 is a deficient number, since it is larger than the sum of its proper divisors (31321423650).

63085866561 is an frugal number, since it uses more digits than its factorization.

63085866561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838 (or 2919 counting only the distinct ones).

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

The spelling of 63085866561 in words is "sixty-three billion, eighty-five million, eight hundred sixty-six thousand, five hundred sixty-one".