213204500 has 36 divisors (see below), whose sum is σ = 466352796. Its totient is φ = 85151200.

The previous prime is 213204499. The next prime is 213204539. The reversal of 213204500 is 5402312.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

213204500 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 6 ways, for example, as 128232976 + 84971524 = 11324^2 + 9218^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 326174 + ... + 326826.

Almost surely, 2^213204500 is an apocalyptic number.

213204500 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 213204500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233176398).

213204500 is an abundant number, since it is smaller than the sum of its proper divisors (253148296).

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

213204500 is an frugal number, since it uses more digits than its factorization.

213204500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 213204500 is about 14601.5238930736. The cubic root of 213204500 is about 597.4003265049.

Adding to 213204500 its reverse (5402312), we get a palindrome (218606812).

The spelling of 213204500 in words is "two hundred thirteen million, two hundred four thousand, five hundred".