211125552 has 160 divisors (see below), whose sum is σ = 622888704. Its totient is φ = 61056000.

The previous prime is 211125517. The next prime is 211125569. The reversal of 211125552 is 255521112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1973083 + ... + 1973189.

Almost surely, 2^211125552 is an apocalyptic number.

211125552 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 211125552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311444352).

211125552 is an abundant number, since it is smaller than the sum of its proper divisors (411763152).

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

211125552 is a wasteful number, since it uses less digits than its factorization.

211125552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its digits is 1000, while the sum is 24.

The square root of 211125552 is about 14530.1600817059. The cubic root of 211125552 is about 595.4522390970.

Adding to 211125552 its reverse (255521112), we get a palindrome (466646664).

The spelling of 211125552 in words is "two hundred eleven million, one hundred twenty-five thousand, five hundred fifty-two".