213304520 has 128 divisors (see below), whose sum is σ = 571536000. Its totient is φ = 70625280.

The previous prime is 213304513. The next prime is 213304523. The reversal of 213304520 is 25403312.

It is a happy number.

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 = 213304492 and 213304501.

It is not an unprimeable number, because it can be changed into a prime (213304523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508871 + ... + 509289.

It is an arithmetic number, because the mean of its divisors is an integer number (4465125).

Almost surely, 2^213304520 is an apocalyptic number.

213304520 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 213304520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285768000).

213304520 is an abundant number, since it is smaller than the sum of its proper divisors (358231480).

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

213304520 is a wasteful number, since it uses less digits than its factorization.

213304520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 213304520 is about 14604.9484764582. The cubic root of 213304520 is about 597.4937307863.

Adding to 213304520 its reverse (25403312), we get a palindrome (238707832).

The spelling of 213304520 in words is "two hundred thirteen million, three hundred four thousand, five hundred twenty".