211540520 has 64 divisors (see below), whose sum is σ = 508608720. Its totient is φ = 78905344.

The previous prime is 211540501. The next prime is 211540531. The reversal of 211540520 is 25045112.

211540520 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 8 ways, for example, as 107785924 + 103754596 = 10382^2 + 10186^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211540492 and 211540501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75464 + ... + 78216.

Almost surely, 2^211540520 is an apocalyptic number.

211540520 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 211540520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254304360).

211540520 is an abundant number, since it is smaller than the sum of its proper divisors (297068200).

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

211540520 is a wasteful number, since it uses less digits than its factorization.

211540520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 211540520 is about 14544.4326118278. The cubic root of 211540520 is about 595.8421049235.

Adding to 211540520 its reverse (25045112), we get a palindrome (236585632).

The spelling of 211540520 in words is "two hundred eleven million, five hundred forty thousand, five hundred twenty".