29879642330513 has 2 divisors, whose sum is σ = 29879642330514. Its totient is φ = 29879642330512.

The previous prime is 29879642330443. The next prime is 29879642330521. The reversal of 29879642330513 is 31503324697892.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28023598487824 + 1856043842689 = 5293732^2 + 1362367^2 .

It is a cyclic number.

It is not a de Polignac number, because 29879642330513 - 2¹⁶ = 29879642264977 is a prime.

It is not a weakly prime, because it can be changed into another prime (29879642330533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14939821165256 + 14939821165257.

It is an arithmetic number, because the mean of its divisors is an integer number (14939821165257).

It is a 1-persistent number, because it is pandigital, but 2⋅29879642330513 = 59759284661026 is not.

Almost surely, 2^{29879642330513} is an apocalyptic number.

It is an amenable number.

29879642330513 is a deficient number, since it is larger than the sum of its proper divisors (1).

29879642330513 is an equidigital number, since it uses as much as digits as its factorization.

29879642330513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58786560, while the sum is 62.

The spelling of 29879642330513 in words is "twenty-nine trillion, eight hundred seventy-nine billion, six hundred forty-two million, three hundred thirty thousand, five hundred thirteen".