727668013 has 2 divisors, whose sum is σ = 727668014. Its totient is φ = 727668012.

The previous prime is 727667989. The next prime is 727668031. The reversal of 727668013 is 310866727.

Together with next prime (727668031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 718347204 + 9320809 = 26802^2 + 3053^2 .

It is a cyclic number.

It is not a de Polignac number, because 727668013 - 2¹⁷ = 727536941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (727668313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363834006 + 363834007.

It is an arithmetic number, because the mean of its divisors is an integer number (363834007).

Almost surely, 2^727668013 is an apocalyptic number.

It is an amenable number.

727668013 is a deficient number, since it is larger than the sum of its proper divisors (1).

727668013 is an equidigital number, since it uses as much as digits as its factorization.

727668013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 727668013 is about 26975.3222964991. The cubic root of 727668013 is about 899.4515230173.

The spelling of 727668013 in words is "seven hundred twenty-seven million, six hundred sixty-eight thousand, thirteen".