211125264 has 80 divisors (see below), whose sum is σ = 656148480. Its totient is φ = 57144960.

The previous prime is 211125263. The next prime is 211125281. The reversal of 211125264 is 462521112.

211125264 is digitally balanced in base 3, 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 (24).

It is not an unprimeable number, because it can be changed into a prime (211125263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10152 + ... + 22919.

It is an arithmetic number, because the mean of its divisors is an integer number (8201856).

Almost surely, 2^211125264 is an apocalyptic number.

211125264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211125264 is an abundant number, since it is smaller than the sum of its proper divisors (445023216).

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

211125264 is a wasteful number, since it uses less digits than its factorization.

211125264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33108 (or 33102 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 211125264 is about 14530.1501712818. The cubic root of 211125264 is about 595.4519683413.

Adding to 211125264 its reverse (462521112), we get a palindrome (673646376).

The spelling of 211125264 in words is "two hundred eleven million, one hundred twenty-five thousand, two hundred sixty-four".