21330838959593 has 2 divisors, whose sum is σ = 21330838959594. Its totient is φ = 21330838959592.

The previous prime is 21330838959523. The next prime is 21330838959601. The reversal of 21330838959593 is 39595983803312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20421966550489 + 908872409104 = 4519067^2 + 953348^2 .

It is a cyclic number.

It is not a de Polignac number, because 21330838959593 - 2⁸ = 21330838959337 is a prime.

It is not a weakly prime, because it can be changed into another prime (21330838959523) 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, 10665419479796 + 10665419479797.

It is an arithmetic number, because the mean of its divisors is an integer number (10665419479797).

Almost surely, 2^{21330838959593} is an apocalyptic number.

It is an amenable number.

21330838959593 is a deficient number, since it is larger than the sum of its proper divisors (1).

21330838959593 is an equidigital number, since it uses as much as digits as its factorization.

21330838959593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 188956800, while the sum is 68.

The spelling of 21330838959593 in words is "twenty-one trillion, three hundred thirty billion, eight hundred thirty-eight million, nine hundred fifty-nine thousand, five hundred ninety-three".