51106116105153 has 12 divisors (see below), whose sum is σ = 73820007443988. Its totient is φ = 34070715473760.

The previous prime is 51106116105119. The next prime is 51106116105169. The reversal of 51106116105153 is 35150161160115.

51106116105153 is a `hidden beast` number, since 5 + 1 + 10 + 6 + 11 + 610 + 5 + 15 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31226895138609 + 19879220966544 = 5588103^2 + 4458612^2 .

It is not a de Polignac number, because 51106116105153 - 2⁴⁰ = 50006604477377 is a prime.

It is a super-2 number, since 2×51106116105153² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51106116105353) 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, 20073043 + ... + 22475303.

It is an arithmetic number, because the mean of its divisors is an integer number (6151667286999).

Almost surely, 2^{51106116105153} is an apocalyptic number.

It is an amenable number.

51106116105153 is a deficient number, since it is larger than the sum of its proper divisors (22713891338835).

51106116105153 is a wasteful number, since it uses less digits than its factorization.

51106116105153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766064 (or 4766061 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 36.

Adding to 51106116105153 its reverse (35150161160115), we get a palindrome (86256277265268).

The spelling of 51106116105153 in words is "fifty-one trillion, one hundred six billion, one hundred sixteen million, one hundred five thousand, one hundred fifty-three".