211005252 has 36 divisors (see below), whose sum is σ = 538277740. Its totient is φ = 69688512.

The previous prime is 211005217. The next prime is 211005269. The reversal of 211005252 is 252500112.

211005252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 146748996 + 64256256 = 12114^2 + 8016^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22963 + ... + 30810.

Almost surely, 2^211005252 is an apocalyptic number.

It is an amenable number.

211005252 is an abundant number, since it is smaller than the sum of its proper divisors (327272488).

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

211005252 is a wasteful number, since it uses less digits than its factorization.

211005252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53892 (or 53887 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 211005252 is about 14526.0198265044. The cubic root of 211005252 is about 595.3391207597.

Adding to 211005252 its reverse (252500112), we get a palindrome (463505364).

The spelling of 211005252 in words is "two hundred eleven million, five thousand, two hundred fifty-two".