51006100113 has 32 divisors (see below), whose sum is σ = 75778848000. Its totient is φ = 33907805568.

The previous prime is 51006100111. The next prime is 51006100151. The reversal of 51006100113 is 31100160015.

51006100113 is a `hidden beast` number, since 51 + 0 + 0 + 610 + 0 + 1 + 1 + 3 = 666.

It is not a de Polignac number, because 51006100113 - 2¹ = 51006100111 is a prime.

It is a super-2 number, since 2×51006100113² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51006100111) 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, 22204381 + ... + 22206677.

It is an arithmetic number, because the mean of its divisors is an integer number (2368089000).

Almost surely, 2^51006100113 is an apocalyptic number.

It is an amenable number.

51006100113 is a deficient number, since it is larger than the sum of its proper divisors (24772747887).

51006100113 is a wasteful number, since it uses less digits than its factorization.

51006100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4278 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 51006100113 its reverse (31100160015), we get a palindrome (82106260128).

The spelling of 51006100113 in words is "fifty-one billion, six million, one hundred thousand, one hundred thirteen".