65513 has 8 divisors (see below), whose sum is σ = 76800. Its totient is φ = 55860.

The previous prime is 65497. The next prime is 65519. The reversal of 65513 is 31556.

It is not a de Polignac number, because 65513 - 2⁴ = 65497 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 4 and base 16.

It is not an unprimeable number, because it can be changed into a prime (65519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248 + ... + 438.

It is an arithmetic number, because the mean of its divisors is an integer number (9600).

2⁶⁵⁵¹³ is an apocalyptic number.

It is an amenable number.

65513 is a deficient number, since it is larger than the sum of its proper divisors (11287).

65513 is an equidigital number, since it uses as much as digits as its factorization.

65513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its digits is 450, while the sum is 20.

The square root of 65513 is about 255.9550741830. The cubic root of 65513 is about 40.3127565434.

It can be divided in two parts, 655 and 13, that multiplied together give a triangular number (8515 = T₁₃₀).

The spelling of 65513 in words is "sixty-five thousand, five hundred thirteen".