51106106166061 has 2 divisors, whose sum is σ = 51106106166062. Its totient is φ = 51106106166060.

The previous prime is 51106106166047. The next prime is 51106106166079. The reversal of 51106106166061 is 16066160160115.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32694025901161 + 18412080264900 = 5717869^2 + 4290930^2 .

It is a cyclic number.

It is not a de Polignac number, because 51106106166061 - 2⁹ = 51106106165549 is a prime.

It is a super-3 number, since 3×51106106166061³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51106106166161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25553053083030 + 25553053083031.

It is an arithmetic number, because the mean of its divisors is an integer number (25553053083031).

Almost surely, 2^{51106106166061} is an apocalyptic number.

It is an amenable number.

51106106166061 is a deficient number, since it is larger than the sum of its proper divisors (1).

51106106166061 is an equidigital number, since it uses as much as digits as its factorization.

51106106166061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 51106106166061 in words is "fifty-one trillion, one hundred six billion, one hundred six million, one hundred sixty-six thousand, sixty-one".