211052512 has 48 divisors (see below), whose sum is σ = 455242032. Its totient is φ = 95518720.

The previous prime is 211052509. The next prime is 211052521. The reversal of 211052512 is 215250112.

It is a self number, because there is not a number n which added to its sum of digits gives 211052512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89298 + ... + 91630.

It is an arithmetic number, because the mean of its divisors is an integer number (9484209).

Almost surely, 2^211052512 is an apocalyptic number.

211052512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211052512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227621016).

211052512 is an abundant number, since it is smaller than the sum of its proper divisors (244189520).

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

211052512 is a wasteful number, since it uses less digits than its factorization.

211052512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 211052512 is about 14527.6464714695. The cubic root of 211052512 is about 595.3835645611.

The spelling of 211052512 in words is "two hundred eleven million, fifty-two thousand, five hundred twelve".