51105664413333 has 8 divisors (see below), whose sum is σ = 75712095427200. Its totient is φ = 34070442942204.

The previous prime is 51105664413311. The next prime is 51105664413337. The reversal of 51105664413333 is 33331446650115.

It is a happy number.

51105664413333 is a `hidden beast` number, since 5 + 1 + 1 + 0 + 566 + 44 + 13 + 3 + 33 = 666.

It is not a de Polignac number, because 51105664413333 - 2⁵ = 51105664413301 is a prime.

It is a super-2 number, since 2×51105664413333² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51105664413337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 946401192813 + ... + 946401192866.

It is an arithmetic number, because the mean of its divisors is an integer number (9464011928400).

Almost surely, 2^{51105664413333} is an apocalyptic number.

It is an amenable number.

51105664413333 is a deficient number, since it is larger than the sum of its proper divisors (24606431013867).

51105664413333 is a wasteful number, since it uses less digits than its factorization.

51105664413333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892802385688 (or 1892802385682 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 51105664413333 in words is "fifty-one trillion, one hundred five billion, six hundred sixty-four million, four hundred thirteen thousand, three hundred thirty-three".