213535052417 has 2 divisors, whose sum is σ = 213535052418. Its totient is φ = 213535052416.

The previous prime is 213535052351. The next prime is 213535052453. The reversal of 213535052417 is 714250535312.

213535052417 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., 213250927681 + 284124736 = 461791^2 + 16856^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213535052417 is a prime.

It is a super-2 number, since 2×213535052417² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213535052117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106767526208 + 106767526209.

It is an arithmetic number, because the mean of its divisors is an integer number (106767526209).

Almost surely, 2^213535052417 is an apocalyptic number.

It is an amenable number.

213535052417 is a deficient number, since it is larger than the sum of its proper divisors (1).

213535052417 is an equidigital number, since it uses as much as digits as its factorization.

213535052417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126000, while the sum is 38.

Adding to 213535052417 its reverse (714250535312), we get a palindrome (927785587729).

The spelling of 213535052417 in words is "two hundred thirteen billion, five hundred thirty-five million, fifty-two thousand, four hundred seventeen".