51105566564011 has 16 divisors (see below), whose sum is σ = 56466636378624. Its totient is φ = 46006308906624.

The previous prime is 51105566563981. The next prime is 51105566564069. The reversal of 51105566564011 is 11046566550115.

It is not a de Polignac number, because 51105566564011 - 2²³ = 51105558175403 is a prime.

It is a super-2 number, since 2×51105566564011² (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 (51105566514011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7704586 + ... + 12711088.

It is an arithmetic number, because the mean of its divisors is an integer number (3529164773664).

Almost surely, 2^{51105566564011} is an apocalyptic number.

51105566564011 is a deficient number, since it is larger than the sum of its proper divisors (5361069814613).

51105566564011 is a wasteful number, since it uses less digits than its factorization.

51105566564011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032650.

The product of its (nonzero) digits is 540000, while the sum is 46.

The spelling of 51105566564011 in words is "fifty-one trillion, one hundred five billion, five hundred sixty-six million, five hundred sixty-four thousand, eleven".