211137552 has 60 divisors (see below), whose sum is σ = 625657500. Its totient is φ = 66238464.

The previous prime is 211137551. The next prime is 211137601. The reversal of 211137552 is 255731112.

211137552 is digitally balanced in base 3, 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 191102976 + 20034576 = 13824^2 + 4476^2 .

It is not an unprimeable number, because it can be changed into a prime (211137551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40677 + ... + 45572.

It is an arithmetic number, because the mean of its divisors is an integer number (10427625).

Almost surely, 2^211137552 is an apocalyptic number.

It is an amenable number.

211137552 is an abundant number, since it is smaller than the sum of its proper divisors (414519948).

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

211137552 is a wasteful number, since it uses less digits than its factorization.

211137552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86280 (or 86271 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 211137552 is about 14530.5730100365. The cubic root of 211137552 is about 595.4635203645.

Adding to 211137552 its reverse (255731112), we get a palindrome (466868664).

The spelling of 211137552 in words is "two hundred eleven million, one hundred thirty-seven thousand, five hundred fifty-two".