16513 has 6 divisors (see below), whose sum is σ = 19266. Its totient is φ = 14112.

The previous prime is 16493. The next prime is 16519. The reversal of 16513 is 31561.

16513 is nontrivially palindromic in base 2.

It can be written as a sum of positive squares in only one way, i.e., 12544 + 3969 = 112^2 + 63^2 .

It is not a de Polignac number, because 16513 - 2⁵ = 16481 is a prime.

It is the 129-th Hogben number.

It is a Duffinian number.

It is a plaindrome in base 9.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (16519) by changing a digit.

It is a nontrivial repunit in base 128.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 120 + ... + 217.

It is an arithmetic number, because the mean of its divisors is an integer number (3211).

It is a 6-hyperperfect number.

2¹⁶⁵¹³ is an apocalyptic number.

It is an amenable number.

16513 is a deficient number, since it is larger than the sum of its proper divisors (2753).

16513 is an equidigital number, since it uses as much as digits as its factorization.

16513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 344 counting only the distinct ones).

The product of its digits is 90, while the sum is 16.

The square root of 16513 is about 128.5029182548. The cubic root of 16513 is about 25.4649010895.

It can be divided in two parts, 165 and 13, that multiplied together give a triangular number (2145 = T₆₅).

The spelling of 16513 in words is "sixteen thousand, five hundred thirteen".