51116611506041 has 2 divisors, whose sum is σ = 51116611506042. Its totient is φ = 51116611506040.

The previous prime is 51116611505987. The next prime is 51116611506049. The reversal of 51116611506041 is 14060511661115.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48013743348025 + 3102868158016 = 6929195^2 + 1761496^2 .

It is a cyclic number.

It is not a de Polignac number, because 51116611506041 - 2¹⁸ = 51116611243897 is a prime.

It is a super-2 number, since 2×51116611506041² (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 51116611505986 and 51116611506004.

It is not a weakly prime, because it can be changed into another prime (51116611506049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25558305753020 + 25558305753021.

It is an arithmetic number, because the mean of its divisors is an integer number (25558305753021).

Almost surely, 2^{51116611506041} is an apocalyptic number.

It is an amenable number.

51116611506041 is a deficient number, since it is larger than the sum of its proper divisors (1).

51116611506041 is an equidigital number, since it uses as much as digits as its factorization.

51116611506041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 38.

The spelling of 51116611506041 in words is "fifty-one trillion, one hundred sixteen billion, six hundred eleven million, five hundred six thousand, forty-one".