51005095961 has 2 divisors, whose sum is σ = 51005095962. Its totient is φ = 51005095960.

The previous prime is 51005095949. The next prime is 51005095979. The reversal of 51005095961 is 16959050015.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50931462400 + 73633561 = 225680^2 + 8581^2 .

It is a cyclic number.

It is not a de Polignac number, because 51005095961 - 2¹⁴ = 51005079577 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (51005095931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25502547980 + 25502547981.

It is an arithmetic number, because the mean of its divisors is an integer number (25502547981).

Almost surely, 2^51005095961 is an apocalyptic number.

It is an amenable number.

51005095961 is a deficient number, since it is larger than the sum of its proper divisors (1).

51005095961 is an equidigital number, since it uses as much as digits as its factorization.

51005095961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60750, while the sum is 41.

The spelling of 51005095961 in words is "fifty-one billion, five million, ninety-five thousand, nine hundred sixty-one".