51105105506061 has 12 divisors (see below), whose sum is σ = 73822712126592. Its totient is φ = 34068119693256.

The previous prime is 51105105506051. The next prime is 51105105506071. The reversal of 51105105506061 is 16060550150115.

It is a happy number.

51105105506061 is a `hidden beast` number, since 51 + 1 + 0 + 51 + 0 + 550 + 6 + 0 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (51105105506051) and next prime (51105105506071).

It is not a de Polignac number, because 51105105506061 - 2⁵ = 51105105506029 is a prime.

It is a super-2 number, since 2×51105105506061² (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 (51105105506041) 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, 162387741 + ... + 162702146.

It is an arithmetic number, because the mean of its divisors is an integer number (6151892677216).

Almost surely, 2^{51105105506061} is an apocalyptic number.

It is an amenable number.

51105105506061 is a deficient number, since it is larger than the sum of its proper divisors (22717606620531).

51105105506061 is a wasteful number, since it uses less digits than its factorization.

51105105506061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325107360 (or 325107357 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

Adding to 51105105506061 its reverse (16060550150115), we get a palindrome (67165655656176).

The spelling of 51105105506061 in words is "fifty-one trillion, one hundred five billion, one hundred five million, five hundred six thousand, sixty-one".