213008500 has 48 divisors (see below), whose sum is σ = 468179712. Its totient is φ = 84660000.

The previous prime is 213008491. The next prime is 213008501. The reversal of 213008500 is 5800312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213008501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82225 + ... + 84775.

It is an arithmetic number, because the mean of its divisors is an integer number (9753744).

Almost surely, 2^213008500 is an apocalyptic number.

213008500 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 213008500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234089856).

213008500 is an abundant number, since it is smaller than the sum of its proper divisors (255171212).

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

213008500 is a wasteful number, since it uses less digits than its factorization.

213008500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 213008500 is about 14594.8107216229. The cubic root of 213008500 is about 597.2172059751.

Adding to 213008500 its reverse (5800312), we get a palindrome (218808812).

The spelling of 213008500 in words is "two hundred thirteen million, eight thousand, five hundred".