58980301361329 has 2 divisors, whose sum is σ = 58980301361330. Its totient is φ = 58980301361328.

The previous prime is 58980301361257. The next prime is 58980301361369. The reversal of 58980301361329 is 92316310308985.

58980301361329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37609420553104 + 21370880808225 = 6132652^2 + 4622865^2 .

It is a cyclic number.

It is not a de Polignac number, because 58980301361329 - 2²³ = 58980292972721 is a prime.

It is not a weakly prime, because it can be changed into another prime (58980301361369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29490150680664 + 29490150680665.

It is an arithmetic number, because the mean of its divisors is an integer number (29490150680665).

Almost surely, 2^{58980301361329} is an apocalyptic number.

It is an amenable number.

58980301361329 is a deficient number, since it is larger than the sum of its proper divisors (1).

58980301361329 is an equidigital number, since it uses as much as digits as its factorization.

58980301361329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8398080, while the sum is 58.

The spelling of 58980301361329 in words is "fifty-eight trillion, nine hundred eighty billion, three hundred one million, three hundred sixty-one thousand, three hundred twenty-nine".