480820211538561 has 6 divisors (see below), whose sum is σ = 694518083333490. Its totient is φ = 320546807692368.

The previous prime is 480820211538529. The next prime is 480820211538571. The reversal of 480820211538561 is 165835112028084.

480820211538561 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 2 + 0 + 21 + 1 + 53 + 8 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 283685806850625 + 197134404687936 = 16842975^2 + 14040456^2 .

It is not a de Polignac number, because 480820211538561 - 2⁵ = 480820211538529 is a prime.

It is a super-3 number, since 3×480820211538561³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480820211538498 and 480820211538507.

It is not an unprimeable number, because it can be changed into a prime (480820211538571) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26712233974356 + ... + 26712233974373.

It is an arithmetic number, because the mean of its divisors is an integer number (115753013888915).

Almost surely, 2^{480820211538561} is an apocalyptic number.

It is an amenable number.

480820211538561 is a deficient number, since it is larger than the sum of its proper divisors (213697871794929).

480820211538561 is a wasteful number, since it uses less digits than its factorization.

480820211538561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53424467948735 (or 53424467948732 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 480820211538561 in words is "four hundred eighty trillion, eight hundred twenty billion, two hundred eleven million, five hundred thirty-eight thousand, five hundred sixty-one".