213212500 has 72 divisors (see below), whose sum is σ = 480016152. Its totient is φ = 82800000.

The previous prime is 213212491. The next prime is 213212543. The reversal of 213212500 is 5212312.

It can be written as a sum of positive squares in 12 ways, for example, as 206841924 + 6370576 = 14382^2 + 2524^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462270 + ... + 462730.

It is an arithmetic number, because the mean of its divisors is an integer number (6666891).

Almost surely, 2^213212500 is an apocalyptic number.

213212500 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 213212500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240008076).

213212500 is an abundant number, since it is smaller than the sum of its proper divisors (266803652).

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

213212500 is an equidigital number, since it uses as much as digits as its factorization.

213212500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 213212500 is about 14601.7978345134. The cubic root of 213212500 is about 597.4077984279.

Adding to 213212500 its reverse (5212312), we get a palindrome (218424812).

The spelling of 213212500 in words is "two hundred thirteen million, two hundred twelve thousand, five hundred".