51605117105 has 16 divisors (see below), whose sum is σ = 66572340480. Its totient is φ = 38279089152.

The previous prime is 51605117101. The next prime is 51605117131. The reversal of 51605117105 is 50171150615.

It is a cyclic number.

It is not a de Polignac number, because 51605117105 - 2² = 51605117101 is a prime.

It is a super-2 number, since 2×51605117105² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51605117101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5774384 + ... + 5783313.

It is an arithmetic number, because the mean of its divisors is an integer number (4160771280).

Almost surely, 2^51605117105 is an apocalyptic number.

It is an amenable number.

51605117105 is a deficient number, since it is larger than the sum of its proper divisors (14967223375).

51605117105 is a wasteful number, since it uses less digits than its factorization.

51605117105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11557768.

The product of its (nonzero) digits is 5250, while the sum is 32.

The spelling of 51605117105 in words is "fifty-one billion, six hundred five million, one hundred seventeen thousand, one hundred five".