211311009 has 72 divisors (see below), whose sum is σ = 383685120. Its totient is φ = 109714176.

The previous prime is 211310993. The next prime is 211311029. The reversal of 211311009 is 900113112.

It is not a de Polignac number, because 211311009 - 2⁴ = 211310993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211310982 and 211311000.

It is not an unprimeable number, because it can be changed into a prime (211311029) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 947472 + ... + 947694.

It is an arithmetic number, because the mean of its divisors is an integer number (5328960).

Almost surely, 2^211311009 is an apocalyptic number.

It is an amenable number.

211311009 is a deficient number, since it is larger than the sum of its proper divisors (172374111).

211311009 is a wasteful number, since it uses less digits than its factorization.

211311009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 211311009 is about 14536.5404756428. The cubic root of 211311009 is about 595.6265405427.

The spelling of 211311009 in words is "two hundred eleven million, three hundred eleven thousand, nine".