28513 has 2 divisors, whose sum is σ = 28514. Its totient is φ = 28512.

The previous prime is 28499. The next prime is 28517. The reversal of 28513 is 31582.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28224 + 289 = 168^2 + 17^2 .

It is a cyclic number.

It is not a de Polignac number, because 28513 - 2⁹ = 28001 is a prime.

It is a d-powerful number, because it can be written as 2¹³ + 8³ + 5³ + 1 + 3⁹ .

28513 is a lucky number.

It is a nialpdrome in base 13.

It is not a weakly prime, because it can be changed into another prime (28517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14256 + 14257.

It is an arithmetic number, because the mean of its divisors is an integer number (14257).

2²⁸⁵¹³ is an apocalyptic number.

It is an amenable number.

28513 is a deficient number, since it is larger than the sum of its proper divisors (1).

28513 is an equidigital number, since it uses as much as digits as its factorization.

28513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 240, while the sum is 19.

The square root of 28513 is about 168.8579284487. The cubic root of 28513 is about 30.5502173717.

It can be divided in two parts, 2 and 8513, that added together give a triangular number (8515 = T₁₃₀).

The spelling of 28513 in words is "twenty-eight thousand, five hundred thirteen".