213252864 has 72 divisors (see below), whose sum is σ = 619184832. Its totient is φ = 64619520.

The previous prime is 213252857. The next prime is 213252869. The reversal of 213252864 is 468252312.

213252864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (213252869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4174 + ... + 21069.

Almost surely, 2^213252864 is an apocalyptic number.

213252864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213252864 is an abundant number, since it is smaller than the sum of its proper divisors (405931968).

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

213252864 is a wasteful number, since it uses less digits than its factorization.

213252864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25273 (or 25259 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 213252864 is about 14603.1799276733. The cubic root of 213252864 is about 597.4454951653.

The spelling of 213252864 in words is "two hundred thirteen million, two hundred fifty-two thousand, eight hundred sixty-four".