211000512 has 56 divisors (see below), whose sum is σ = 559557936. Its totient is φ = 70171648.

The previous prime is 211000507. The next prime is 211000519. The reversal of 211000512 is 215000112.

211000512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (211000519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105958 + ... + 107930.

It is an arithmetic number, because the mean of its divisors is an integer number (9992106).

Almost surely, 2^211000512 is an apocalyptic number.

It is an amenable number.

211000512 is an abundant number, since it is smaller than the sum of its proper divisors (348557424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211000512 is a wasteful number, since it uses less digits than its factorization.

211000512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 211000512 is about 14525.8566700901. The cubic root of 211000512 is about 595.3346628476.

Adding to 211000512 its reverse (215000112), we get a palindrome (426000624).

The spelling of 211000512 in words is "two hundred eleven million, five hundred twelve", and thus it is an aban number.