213585512 has 24 divisors (see below), whose sum is σ = 465857010. Its totient is φ = 91536480.

The previous prime is 213585511. The next prime is 213585529. The reversal of 213585512 is 215585312.

213585512 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 only one way, i.e., 211586116 + 1999396 = 14546^2 + 1414^2 .

It is not an unprimeable number, because it can be changed into a prime (213585511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 272039 + ... + 272822.

Almost surely, 2^213585512 is an apocalyptic number.

It is an amenable number.

213585512 is an abundant number, since it is smaller than the sum of its proper divisors (252271498).

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

213585512 is a wasteful number, since it uses less digits than its factorization.

213585512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544881 (or 544870 counting only the distinct ones).

The product of its digits is 12000, while the sum is 32.

The square root of 213585512 is about 14614.5650636617. The cubic root of 213585512 is about 597.7559807218.

The spelling of 213585512 in words is "two hundred thirteen million, five hundred eighty-five thousand, five hundred twelve".