51005606117 has 2 divisors, whose sum is σ = 51005606118. Its totient is φ = 51005606116.

The previous prime is 51005606063. The next prime is 51005606129. The reversal of 51005606117 is 71160650015.

51005606117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40806424036 + 10199182081 = 202006^2 + 100991^2 .

It is a cyclic number.

It is not a de Polignac number, because 51005606117 - 2¹⁰ = 51005605093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51005606147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25502803058 + 25502803059.

It is an arithmetic number, because the mean of its divisors is an integer number (25502803059).

Almost surely, 2^51005606117 is an apocalyptic number.

It is an amenable number.

51005606117 is a deficient number, since it is larger than the sum of its proper divisors (1).

51005606117 is an equidigital number, since it uses as much as digits as its factorization.

51005606117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6300, while the sum is 32.

The spelling of 51005606117 in words is "fifty-one billion, five million, six hundred six thousand, one hundred seventeen".