329516508873949 has 2 divisors, whose sum is σ = 329516508873950. Its totient is φ = 329516508873948.

The previous prime is 329516508873947. The next prime is 329516508873971. The reversal of 329516508873949 is 949378805615923.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 295759165522500 + 33757343351449 = 17197650^2 + 5810107^2 .

It is an emirp because it is prime and its reverse (949378805615923) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 329516508873949 - 2¹ = 329516508873947 is a prime.

It is a super-2 number, since 2×329516508873949² (a number of 30 digits) contains 22 as substring.

Together with 329516508873947, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (329516508873943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164758254436974 + 164758254436975.

It is an arithmetic number, because the mean of its divisors is an integer number (164758254436975).

It is a 1-persistent number, because it is pandigital, but 2⋅329516508873949 = 659033017747898 is not.

Almost surely, 2^{329516508873949} is an apocalyptic number.

It is an amenable number.

329516508873949 is a deficient number, since it is larger than the sum of its proper divisors (1).

329516508873949 is an equidigital number, since it uses as much as digits as its factorization.

329516508873949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3527193600, while the sum is 79.

The spelling of 329516508873949 in words is "three hundred twenty-nine trillion, five hundred sixteen billion, five hundred eight million, eight hundred seventy-three thousand, nine hundred forty-nine".