506577026682721 has 2 divisors, whose sum is σ = 506577026682722. Its totient is φ = 506577026682720.

The previous prime is 506577026682719. The next prime is 506577026682731. The reversal of 506577026682721 is 127286620775605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 307666509180625 + 198910517502096 = 17540425^2 + 14103564^2 .

It is a cyclic number.

It is not a de Polignac number, because 506577026682721 - 2¹ = 506577026682719 is a prime.

Together with 506577026682719, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (506577026682731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253288513341360 + 253288513341361.

It is an arithmetic number, because the mean of its divisors is an integer number (253288513341361).

Almost surely, 2^{506577026682721} is an apocalyptic number.

It is an amenable number.

506577026682721 is a deficient number, since it is larger than the sum of its proper divisors (1).

506577026682721 is an equidigital number, since it uses as much as digits as its factorization.

506577026682721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 118540800, while the sum is 64.

The spelling of 506577026682721 in words is "five hundred six trillion, five hundred seventy-seven billion, twenty-six million, six hundred eighty-two thousand, seven hundred twenty-one".