213505300 has 36 divisors (see below), whose sum is σ = 465087420. Its totient is φ = 85073920.

The previous prime is 213505289. The next prime is 213505319. The reversal of 213505300 is 3505312.

213505300 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 695556 + 212809744 = 834^2 + 14588^2 .

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, 22932 + ... + 30868.

It is an arithmetic number, because the mean of its divisors is an integer number (12919095).

Almost surely, 2^213505300 is an apocalyptic number.

213505300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213505300 is an abundant number, since it is smaller than the sum of its proper divisors (251582120).

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

213505300 is a wasteful number, since it uses less digits than its factorization.

213505300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8220 (or 8213 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 213505300 is about 14611.8205573433. The cubic root of 213505300 is about 597.6811423027.

The spelling of 213505300 in words is "two hundred thirteen million, five hundred five thousand, three hundred".