213537309 has 16 divisors (see below), whose sum is σ = 291333888. Its totient is φ = 139061312.

The previous prime is 213537301. The next prime is 213537319. The reversal of 213537309 is 903735312.

213537309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 213537309 - 2³ = 213537301 is a prime.

It is a super-2 number, since 2×213537309² = 91196364669922962, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213537309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213537301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94339 + ... + 96575.

It is an arithmetic number, because the mean of its divisors is an integer number (18208368).

Almost surely, 2^213537309 is an apocalyptic number.

It is an amenable number.

213537309 is a deficient number, since it is larger than the sum of its proper divisors (77796579).

213537309 is a wasteful number, since it uses less digits than its factorization.

213537309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964.

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 213537309 is about 14612.9158281296. The cubic root of 213537309 is about 597.7110091955.

The spelling of 213537309 in words is "two hundred thirteen million, five hundred thirty-seven thousand, three hundred nine".