51105566514011 has 2 divisors, whose sum is σ = 51105566514012. Its totient is φ = 51105566514010.

The previous prime is 51105566514001. The next prime is 51105566514043. The reversal of 51105566514011 is 11041566550115.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 51105566514011 - 2¹⁸ = 51105566251867 is a prime.

It is a super-3 number, since 3×51105566514011³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 51105566514011.

It is not a weakly prime, because it can be changed into another prime (51105566514001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25552783257005 + 25552783257006.

It is an arithmetic number, because the mean of its divisors is an integer number (25552783257006).

Almost surely, 2^{51105566514011} is an apocalyptic number.

51105566514011 is a deficient number, since it is larger than the sum of its proper divisors (1).

51105566514011 is an equidigital number, since it uses as much as digits as its factorization.

51105566514011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90000, while the sum is 41.

The spelling of 51105566514011 in words is "fifty-one trillion, one hundred five billion, five hundred sixty-six million, five hundred fourteen thousand, eleven".