213249209809 has 16 divisors (see below), whose sum is σ = 222375277696. Its totient is φ = 204302736000.

The previous prime is 213249209801. The next prime is 213249209861. The reversal of 213249209809 is 908902942312.

213249209809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 213249209809 - 2³ = 213249209801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213249209801) 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 in 15 ways as a sum of consecutive naturals, for example, 6307069 + ... + 6340789.

It is an arithmetic number, because the mean of its divisors is an integer number (13898454856).

Almost surely, 2^213249209809 is an apocalyptic number.

It is an amenable number.

213249209809 is a deficient number, since it is larger than the sum of its proper divisors (9126067887).

213249209809 is a wasteful number, since it uses less digits than its factorization.

213249209809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36376.

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 213249209809 in words is "two hundred thirteen billion, two hundred forty-nine million, two hundred nine thousand, eight hundred nine".