506727888727601 has 2 divisors, whose sum is σ = 506727888727602. Its totient is φ = 506727888727600.

The previous prime is 506727888727589. The next prime is 506727888727633. The reversal of 506727888727601 is 106727888727605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 504908090425600 + 1819798302001 = 22470160^2 + 1348999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-506727888727601 is a prime.

It is not a weakly prime, because it can be changed into another prime (506727888727691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253363944363800 + 253363944363801.

It is an arithmetic number, because the mean of its divisors is an integer number (253363944363801).

Almost surely, 2^{506727888727601} is an apocalyptic number.

It is an amenable number.

506727888727601 is a deficient number, since it is larger than the sum of its proper divisors (1).

506727888727601 is an equidigital number, since it uses as much as digits as its factorization.

506727888727601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 885104640, while the sum is 74.

The spelling of 506727888727601 in words is "five hundred six trillion, seven hundred twenty-seven billion, eight hundred eighty-eight million, seven hundred twenty-seven thousand, six hundred one".