264513 has 8 divisors (see below), whose sum is σ = 362368. Its totient is φ = 171504.

The previous prime is 264487. The next prime is 264527. The reversal of 264513 is 315462.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 264513 - 2¹⁰ = 263489 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 264513.

It is not an unprimeable number, because it can be changed into a prime (264553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1081 + ... + 1302.

It is an arithmetic number, because the mean of its divisors is an integer number (45296).

2²⁶⁴⁵¹³ is an apocalyptic number.

It is an amenable number.

264513 is a deficient number, since it is larger than the sum of its proper divisors (97855).

264513 is a wasteful number, since it uses less digits than its factorization.

264513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423.

The product of its digits is 720, while the sum is 21.

The square root of 264513 is about 514.3082733148. The cubic root of 264513 is about 64.1922118637.

Adding to 264513 its reverse (315462), we get a palindrome (579975).

It can be divided in two parts, 264 and 513, that added together give a palindrome (777).

The spelling of 264513 in words is "two hundred sixty-four thousand, five hundred thirteen".