273727413305513 has 2 divisors, whose sum is σ = 273727413305514. Its totient is φ = 273727413305512.

The previous prime is 273727413305503. The next prime is 273727413305543. The reversal of 273727413305513 is 315503314727372.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196057880272489 + 77669533033024 = 14002067^2 + 8813032^2 .

It is a cyclic number.

It is not a de Polignac number, because 273727413305513 - 2⁴ = 273727413305497 is a prime.

It is not a weakly prime, because it can be changed into another prime (273727413305503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 136863706652756 + 136863706652757.

It is an arithmetic number, because the mean of its divisors is an integer number (136863706652757).

Almost surely, 2^{273727413305513} is an apocalyptic number.

It is an amenable number.

273727413305513 is a deficient number, since it is larger than the sum of its proper divisors (1).

273727413305513 is an equidigital number, since it uses as much as digits as its factorization.

273727413305513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11113200, while the sum is 53.

The spelling of 273727413305513 in words is "two hundred seventy-three trillion, seven hundred twenty-seven billion, four hundred thirteen million, three hundred five thousand, five hundred thirteen".