213505312 has 24 divisors (see below), whose sum is σ = 445065516. Its totient is φ = 100472832.

The previous prime is 213505289. The next prime is 213505319.

213505312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 211877136 + 1628176 = 14556^2 + 1276^2 .

It is not an unprimeable number, because it can be changed into a prime (213505319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 195693 + ... + 196780.

Almost surely, 2^213505312 is an apocalyptic number.

It is an amenable number.

213505312 is an abundant number, since it is smaller than the sum of its proper divisors (231560204).

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

213505312 is a wasteful number, since it uses less digits than its factorization.

213505312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392500 (or 392492 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 213505312 is about 14611.8209679697. The cubic root of 213505312 is about 597.6811535002.

It can be divided in two parts, 21350 and 5312, that added together give a palindrome (26662).

The spelling of 213505312 in words is "two hundred thirteen million, five hundred five thousand, three hundred twelve".