211125210 has 64 divisors (see below), whose sum is σ = 538503552. Its totient is φ = 52791296.

The previous prime is 211125203. The next prime is 211125223. The reversal of 211125210 is 12521112.

211125210 is digitally balanced in base 2, 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 (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 211125210.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176374 + ... + 177566.

It is an arithmetic number, because the mean of its divisors is an integer number (8414118).

Almost surely, 2^211125210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211125210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269251776).

211125210 is an abundant number, since it is smaller than the sum of its proper divisors (327378342).

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

211125210 is a wasteful number, since it uses less digits than its factorization.

211125210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 211125210 is about 14530.1483130765. The cubic root of 211125210 is about 595.4519175746.

Adding to 211125210 its reverse (12521112), we get a palindrome (223646322).

The spelling of 211125210 in words is "two hundred eleven million, one hundred twenty-five thousand, two hundred ten".