51585735801617 has 2 divisors, whose sum is σ = 51585735801618. Its totient is φ = 51585735801616.

The previous prime is 51585735801571. The next prime is 51585735801661. The reversal of 51585735801617 is 71610853758515.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46343472220816 + 5242263580801 = 6807604^2 + 2289599^2 .

It is a cyclic number.

It is not a de Polignac number, because 51585735801617 - 2³⁰ = 51584662059793 is a prime.

It is a super-2 number, since 2×51585735801617² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51585735801617.

It is not a weakly prime, because it can be changed into another prime (51585735801917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25792867900808 + 25792867900809.

It is an arithmetic number, because the mean of its divisors is an integer number (25792867900809).

Almost surely, 2^{51585735801617} is an apocalyptic number.

It is an amenable number.

51585735801617 is a deficient number, since it is larger than the sum of its proper divisors (1).

51585735801617 is an equidigital number, since it uses as much as digits as its factorization.

51585735801617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35280000, while the sum is 62.

The spelling of 51585735801617 in words is "fifty-one trillion, five hundred eighty-five billion, seven hundred thirty-five million, eight hundred one thousand, six hundred seventeen".