213505500 has 96 divisors (see below), whose sum is σ = 669614400. Its totient is φ = 52550400.

The previous prime is 213505493. The next prime is 213505541. The reversal of 213505500 is 5505312.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14026 + ... + 24974.

It is an arithmetic number, because the mean of its divisors is an integer number (6975150).

Almost surely, 2^213505500 is an apocalyptic number.

213505500 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 213505500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334807200).

213505500 is an abundant number, since it is smaller than the sum of its proper divisors (456108900).

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

213505500 is a wasteful number, since it uses less digits than its factorization.

213505500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10984 (or 10972 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 213505500 is about 14611.8274011159. The cubic root of 213505500 is about 597.6813289275.

The spelling of 213505500 in words is "two hundred thirteen million, five hundred five thousand, five hundred".