51035412761 has 2 divisors, whose sum is σ = 51035412762. Its totient is φ = 51035412760.

The previous prime is 51035412749. The next prime is 51035412763. The reversal of 51035412761 is 16721453015.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49820472025 + 1214940736 = 223205^2 + 34856^2 .

It is a cyclic number.

It is not a de Polignac number, because 51035412761 - 2¹⁰ = 51035411737 is a prime.

It is a super-2 number, since 2×51035412761² (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 51035412763, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (51035412763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25517706380 + 25517706381.

It is an arithmetic number, because the mean of its divisors is an integer number (25517706381).

Almost surely, 2^51035412761 is an apocalyptic number.

It is an amenable number.

51035412761 is a deficient number, since it is larger than the sum of its proper divisors (1).

51035412761 is an equidigital number, since it uses as much as digits as its factorization.

51035412761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 35.

Adding to 51035412761 its reverse (16721453015), we get a palindrome (67756865776).

The spelling of 51035412761 in words is "fifty-one billion, thirty-five million, four hundred twelve thousand, seven hundred sixty-one".