213024500 has 72 divisors (see below), whose sum is σ = 503986392. Its totient is φ = 78624000.

The previous prime is 213024491. The next prime is 213024509. The reversal of 213024500 is 5420312.

It is an interprime number because it is at equal distance from previous prime (213024491) and next prime (213024509).

It can be written as a sum of positive squares in 12 ways, for example, as 204890596 + 8133904 = 14314^2 + 2852^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213024509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83240 + ... + 85760.

It is an arithmetic number, because the mean of its divisors is an integer number (6999811).

Almost surely, 2^213024500 is an apocalyptic number.

213024500 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 213024500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251993196).

213024500 is an abundant number, since it is smaller than the sum of its proper divisors (290961892).

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

213024500 is a wasteful number, since it uses less digits than its factorization.

213024500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2541 counting only the distinct ones).

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

The square root of 213024500 is about 14595.3588513609. The cubic root of 213024500 is about 597.2321587995.

Adding to 213024500 its reverse (5420312), we get a palindrome (218444812).

The spelling of 213024500 in words is "two hundred thirteen million, twenty-four thousand, five hundred".