51006111101 has 32 divisors (see below), whose sum is σ = 57349472256. Its totient is φ = 44974440000.

The previous prime is 51006111077. The next prime is 51006111119. The reversal of 51006111101 is 10111160015.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51006111101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 51006111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51006111701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12855620 + ... + 12859586.

It is an arithmetic number, because the mean of its divisors is an integer number (1792171008).

Almost surely, 2^51006111101 is an apocalyptic number.

It is an amenable number.

51006111101 is a deficient number, since it is larger than the sum of its proper divisors (6343361155).

51006111101 is a wasteful number, since it uses less digits than its factorization.

51006111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4313.

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 51006111101 its reverse (10111160015), we get a palindrome (61117271116).

The spelling of 51006111101 in words is "fifty-one billion, six million, one hundred eleven thousand, one hundred one".