51585636517567 has 2 divisors, whose sum is σ = 51585636517568. Its totient is φ = 51585636517566.

The previous prime is 51585636517561. The next prime is 51585636517637. The reversal of 51585636517567 is 76571563658515.

It is an a-pointer prime, because the next prime (51585636517637) can be obtained adding 51585636517567 to its sum of digits (70).

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51585636517567 is a prime.

It is a super-2 number, since 2×51585636517567² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51585636517496 and 51585636517505.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51585636517561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25792818258783 + 25792818258784.

It is an arithmetic number, because the mean of its divisors is an integer number (25792818258784).

Almost surely, 2^{51585636517567} is an apocalyptic number.

51585636517567 is a deficient number, since it is larger than the sum of its proper divisors (1).

51585636517567 is an equidigital number, since it uses as much as digits as its factorization.

51585636517567 is an evil number, because the sum of its binary digits is even.

The product of its digits is 793800000, while the sum is 70.

The spelling of 51585636517567 in words is "fifty-one trillion, five hundred eighty-five billion, six hundred thirty-six million, five hundred seventeen thousand, five hundred sixty-seven".