211025920 has 152 divisors (see below), whose sum is σ = 603978624. Its totient is φ = 69206016.

The previous prime is 211025917. The next prime is 211025921. The reversal of 211025920 is 29520112.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 211025891 and 211025900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211025921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9175029 + ... + 9175051.

Almost surely, 2^211025920 is an apocalyptic number.

211025920 is a gapful number since it is divisible by the number (20) 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 211025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301989312).

211025920 is an abundant number, since it is smaller than the sum of its proper divisors (392952704).

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

211025920 is an frugal number, since it uses more digits than its factorization.

211025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 211025920 is about 14526.7312221298. The cubic root of 211025920 is about 595.3585579808.

The spelling of 211025920 in words is "two hundred eleven million, twenty-five thousand, nine hundred twenty".