216513 has 20 divisors (see below), whose sum is σ = 354288. Its totient is φ = 131220.

The previous prime is 216509. The next prime is 216523. The reversal of 216513 is 315612.

216513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 216513 - 2² = 216509 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 216513.

It is not an unprimeable number, because it can be changed into a prime (216523) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19678 + ... + 19688.

216513 is a Friedman number, since it can be written as (6+5)*3^(11-2), using all its digits and the basic arithmetic operations.

2²¹⁶⁵¹³ is an apocalyptic number.

It is an amenable number.

216513 is a deficient number, since it is larger than the sum of its proper divisors (137775).

216513 is an frugal number, since it uses more digits than its factorization.

216513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 14 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 216513 is about 465.3095743696. The cubic root of 216513 is about 60.0474624454.

Subtracting 216513 from its reverse (315612), we obtain a palindrome (99099).

It can be divided in two parts, 216 and 513, that added together give a 6-th power (729 = 3⁶).

The spelling of 216513 in words is "two hundred sixteen thousand, five hundred thirteen".