509141827729 has 2 divisors, whose sum is σ = 509141827730. Its totient is φ = 509141827728.

The previous prime is 509141827717. The next prime is 509141827771. The reversal of 509141827729 is 927728141905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 454302960400 + 54838867329 = 674020^2 + 234177^2 .

It is a cyclic number.

It is not a de Polignac number, because 509141827729 - 2¹¹ = 509141825681 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 509141827729.

It is not a weakly prime, because it can be changed into another prime (509141827829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254570913864 + 254570913865.

It is an arithmetic number, because the mean of its divisors is an integer number (254570913865).

Almost surely, 2^509141827729 is an apocalyptic number.

It is an amenable number.

509141827729 is a deficient number, since it is larger than the sum of its proper divisors (1).

509141827729 is an equidigital number, since it uses as much as digits as its factorization.

509141827729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2540160, while the sum is 55.

The spelling of 509141827729 in words is "five hundred nine billion, one hundred forty-one million, eight hundred twenty-seven thousand, seven hundred twenty-nine".