264013 has 2 divisors, whose sum is σ = 264014. Its totient is φ = 264012.

The previous prime is 264007. The next prime is 264029. The reversal of 264013 is 310462.

It is an a-pointer prime, because the next prime (264029) can be obtained adding 264013 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149769 + 114244 = 387^2 + 338^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-264013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132006 + 132007.

It is an arithmetic number, because the mean of its divisors is an integer number (132007).

2²⁶⁴⁰¹³ is an apocalyptic number.

It is an amenable number.

264013 is a deficient number, since it is larger than the sum of its proper divisors (1).

264013 is an equidigital number, since it uses as much as digits as its factorization.

264013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 264013 is about 513.8219535987. The cubic root of 264013 is about 64.1517395611.

Adding to 264013 its reverse (310462), we get a palindrome (574475).

The spelling of 264013 in words is "two hundred sixty-four thousand, thirteen".