213252688 has 80 divisors (see below), whose sum is σ = 474969600. Its totient is φ = 91808640.

The previous prime is 213252671. The next prime is 213252691. The reversal of 213252688 is 886252312.

213252688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562483 + ... + 562861.

It is an arithmetic number, because the mean of its divisors is an integer number (5937120).

Almost surely, 2^213252688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213252688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237484800).

213252688 is an abundant number, since it is smaller than the sum of its proper divisors (261716912).

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

213252688 is a wasteful number, since it uses less digits than its factorization.

213252688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 554 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 213252688 is about 14603.1739015873. The cubic root of 213252688 is about 597.4453308057.

The spelling of 213252688 in words is "two hundred thirteen million, two hundred fifty-two thousand, six hundred eighty-eight".