273849385829 has 2 divisors, whose sum is σ = 273849385830. Its totient is φ = 273849385828.

The previous prime is 273849385793. The next prime is 273849385907. The reversal of 273849385829 is 928583948372.

273849385829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204457708900 + 69391676929 = 452170^2 + 263423^2 .

It is a cyclic number.

It is not a de Polignac number, because 273849385829 - 2²⁰ = 273848337253 is a prime.

It is a super-3 number, since 3×273849385829³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (273849385729) 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, 136924692914 + 136924692915.

It is an arithmetic number, because the mean of its divisors is an integer number (136924692915).

Almost surely, 2^273849385829 is an apocalyptic number.

It is an amenable number.

273849385829 is a deficient number, since it is larger than the sum of its proper divisors (1).

273849385829 is an equidigital number, since it uses as much as digits as its factorization.

273849385829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 209018880, while the sum is 68.

The spelling of 273849385829 in words is "two hundred seventy-three billion, eight hundred forty-nine million, three hundred eighty-five thousand, eight hundred twenty-nine".