20580484681 has 9 divisors (see below), whose sum is σ = 21100721223. Its totient is φ = 20072783280.

The previous prime is 20580484627. The next prime is 20580484697. The reversal of 20580484681 is 18648408502.

The square root of 20580484681 is 143459.

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

It can be written as a sum of positive squares in only one way, i.e., 991683081 + 19588801600 = 31491^2 + 139960^2 .

It is not a de Polignac number, because 20580484681 - 2⁷ = 20580484553 is a prime.

It is a super-2 number, since 2×20580484681² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20580484601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5880070 + ... + 5883568.

Almost surely, 2^20580484681 is an apocalyptic number.

20580484681 is the 143459-th square number.

20580484681 is the 71730-th centered octagonal number.

It is an amenable number.

20580484681 is a deficient number, since it is larger than the sum of its proper divisors (520236542).

20580484681 is an frugal number, since it uses more digits than its factorization.

20580484681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7080 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

The spelling of 20580484681 in words is "twenty billion, five hundred eighty million, four hundred eighty-four thousand, six hundred eighty-one".