216000513 has 28 divisors (see below), whose sum is σ = 325840788. Its totient is φ = 143117280.

The previous prime is 216000509. The next prime is 216000539. The reversal of 216000513 is 315000612.

216000513 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 2 ways, for example, as 4210704 + 211789809 = 2052^2 + 14553^2 .

It is not a de Polignac number, because 216000513 - 2² = 216000509 is a prime.

It is a super-3 number, since 3×216000513³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (216000583) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 131131 + ... + 132767.

It is an arithmetic number, because the mean of its divisors is an integer number (11637171).

Almost surely, 2^216000513 is an apocalyptic number.

It is an amenable number.

216000513 is a deficient number, since it is larger than the sum of its proper divisors (109840275).

216000513 is an equidigital number, since it uses as much as digits as its factorization.

216000513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1821 counting only the distinct ones).

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

The square root of 216000513 is about 14696.9559093031. The cubic root of 216000513 is about 600.0004749996. Note that the first 3 decimals are identical.

Subtracting 216000513 from its reverse (315000612), we obtain a palindrome (99000099).

The spelling of 216000513 in words is "two hundred sixteen million, five hundred thirteen", and thus it is an aban number.