821333242333117 has 2 divisors, whose sum is σ = 821333242333118. Its totient is φ = 821333242333116.

The previous prime is 821333242333103. The next prime is 821333242333133. The reversal of 821333242333117 is 711333242333128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 556706045755161 + 264627196577956 = 23594619^2 + 16267366^2 .

It is a cyclic number.

It is not a de Polignac number, because 821333242333117 - 2¹⁹ = 821333241808829 is a prime.

It is a super-2 number, since 2×821333242333117² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (821333242333147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410666621166558 + 410666621166559.

It is an arithmetic number, because the mean of its divisors is an integer number (410666621166559).

Almost surely, 2^{821333242333117} is an apocalyptic number.

It is an amenable number.

821333242333117 is a deficient number, since it is larger than the sum of its proper divisors (1).

821333242333117 is an equidigital number, since it uses as much as digits as its factorization.

821333242333117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1306368, while the sum is 46.

The spelling of 821333242333117 in words is "eight hundred twenty-one trillion, three hundred thirty-three billion, two hundred forty-two million, three hundred thirty-three thousand, one hundred seventeen".