51105106010061 has 24 divisors (see below), whose sum is σ = 75814978155800. Its totient is φ = 33148646914176.

The previous prime is 51105106010059. The next prime is 51105106010089. The reversal of 51105106010061 is 16001060150115.

51105106010061 is a `hidden beast` number, since 5 + 1 + 1 + 0 + 51 + 0 + 601 + 0 + 0 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8173846692036 + 42931259318025 = 2858994^2 + 6552195^2 .

It is not a de Polignac number, because 51105106010061 - 2¹ = 51105106010059 is a prime.

It is a super-2 number, since 2×51105106010061² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51105106010011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17039115 + ... + 19812663.

Almost surely, 2^{51105106010061} is an apocalyptic number.

It is an amenable number.

51105106010061 is a deficient number, since it is larger than the sum of its proper divisors (24709872145739).

51105106010061 is a wasteful number, since it uses less digits than its factorization.

51105106010061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828925 (or 2828922 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 51105106010061 its reverse (16001060150115), we get a palindrome (67106166160176).

The spelling of 51105106010061 in words is "fifty-one trillion, one hundred five billion, one hundred six million, ten thousand, sixty-one".