213531205 has 16 divisors (see below), whose sum is σ = 268717680. Its totient is φ = 162667008.

The previous prime is 213531187. The next prime is 213531217. The reversal of 213531205 is 502135312.

213531205 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 8 ways, for example, as 24661156 + 188870049 = 4966^2 + 13743^2 .

It is a cyclic number.

It is not a de Polignac number, because 213531205 - 2⁵ = 213531173 is a prime.

It is a super-3 number, since 3×213531205³ (a number of 26 digits) contains 333 as substring.

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, 499 + ... + 20671.

It is an arithmetic number, because the mean of its divisors is an integer number (16794855).

Almost surely, 2^213531205 is an apocalyptic number.

It is an amenable number.

213531205 is a deficient number, since it is larger than the sum of its proper divisors (55186475).

213531205 is a wasteful number, since it uses less digits than its factorization.

213531205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20280.

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

The square root of 213531205 is about 14612.7069703050. The cubic root of 213531205 is about 597.7053139178.

Adding to 213531205 its reverse (502135312), we get a palindrome (715666517).

The spelling of 213531205 in words is "two hundred thirteen million, five hundred thirty-one thousand, two hundred five".