506713416657727 has 2 divisors, whose sum is σ = 506713416657728. Its totient is φ = 506713416657726.

The previous prime is 506713416657667. The next prime is 506713416657731. The reversal of 506713416657727 is 727756614317605.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 506713416657727 - 2⁴³ = 497917323635519 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506713416657737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253356708328863 + 253356708328864.

It is an arithmetic number, because the mean of its divisors is an integer number (253356708328864).

Almost surely, 2^{506713416657727} is an apocalyptic number.

506713416657727 is a deficient number, since it is larger than the sum of its proper divisors (1).

506713416657727 is an equidigital number, since it uses as much as digits as its factorization.

506713416657727 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 311169600, while the sum is 67.

The spelling of 506713416657727 in words is "five hundred six trillion, seven hundred thirteen billion, four hundred sixteen million, six hundred fifty-seven thousand, seven hundred twenty-seven".