51000101116081 has 12 divisors (see below), whose sum is σ = 55225977874380. Its totient is φ = 47076150051840.

The previous prime is 51000101116067. The next prime is 51000101116163. The reversal of 51000101116081 is 18061110100015.

It can be written as a sum of positive squares in 6 ways, for example, as 8085037296400 + 42915063819681 = 2843420^2 + 6550959^2 .

It is a de Polignac number, because none of the positive numbers 2^k-51000101116081 is a prime.

It is a super-2 number, since 2×51000101116081² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51000101116021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6525525 + ... + 12024253.

It is an arithmetic number, because the mean of its divisors is an integer number (4602164822865).

Almost surely, 2^{51000101116081} is an apocalyptic number.

It is an amenable number.

51000101116081 is a deficient number, since it is larger than the sum of its proper divisors (4225876758299).

51000101116081 is a wasteful number, since it uses less digits than its factorization.

51000101116081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5553636 (or 5553623 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 25.

Adding to 51000101116081 its reverse (18061110100015), we get a palindrome (69061211216096).

The spelling of 51000101116081 in words is "fifty-one trillion, one hundred one million, one hundred sixteen thousand, eighty-one".