5116458517681 has 9 divisors (see below), whose sum is σ = 5951817102699. Its totient is φ = 4385522300544.

The previous prime is 5116458517679. The next prime is 5116458517757. The reversal of 5116458517681 is 1867158546115.

The square root of 5116458517681 is 2261959.

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., 4802168218225 + 314290299456 = 2191385^2 + 560616^2 .

It is not a de Polignac number, because 5116458517681 - 2¹ = 5116458517679 is a prime.

It is a super-2 number, since 2×5116458517681² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5116458517631) 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, 15672145 + ... + 15995281.

It is an arithmetic number, because the mean of its divisors is an integer number (661313011411).

Almost surely, 2^{5116458517681} is an apocalyptic number.

5116458517681 is the 2261959-th square number.

5116458517681 is the 1130980-th centered octagonal number.

It is an amenable number.

5116458517681 is a deficient number, since it is larger than the sum of its proper divisors (835358585018).

5116458517681 is an frugal number, since it uses more digits than its factorization.

5116458517681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646288 (or 323144 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 58.

The spelling of 5116458517681 in words is "five trillion, one hundred sixteen billion, four hundred fifty-eight million, five hundred seventeen thousand, six hundred eighty-one".