213434022409 has 2 divisors, whose sum is σ = 213434022410. Its totient is φ = 213434022408.

The previous prime is 213434022407. The next prime is 213434022421. The reversal of 213434022409 is 904220434312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175410192400 + 38023830009 = 418820^2 + 194997^2 .

It is a cyclic number.

It is not a de Polignac number, because 213434022409 - 2¹ = 213434022407 is a prime.

Together with 213434022407, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (213434022407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106717011204 + 106717011205.

It is an arithmetic number, because the mean of its divisors is an integer number (106717011205).

Almost surely, 2^213434022409 is an apocalyptic number.

It is an amenable number.

213434022409 is a deficient number, since it is larger than the sum of its proper divisors (1).

213434022409 is an equidigital number, since it uses as much as digits as its factorization.

213434022409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 213434022409 in words is "two hundred thirteen billion, four hundred thirty-four million, twenty-two thousand, four hundred nine".