264616013 has 2 divisors, whose sum is σ = 264616014. Its totient is φ = 264616012.

The previous prime is 264616007. The next prime is 264616073. The reversal of 264616013 is 310616462.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 262504804 + 2111209 = 16202^2 + 1453^2 .

It is a cyclic number.

It is not a de Polignac number, because 264616013 - 2¹⁰ = 264614989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264616073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132308006 + 132308007.

It is an arithmetic number, because the mean of its divisors is an integer number (132308007).

Almost surely, 2^264616013 is an apocalyptic number.

It is an amenable number.

264616013 is a deficient number, since it is larger than the sum of its proper divisors (1).

264616013 is an equidigital number, since it uses as much as digits as its factorization.

264616013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 264616013 is about 16267.0222536271. The cubic root of 264616013 is about 642.0054387275.

The spelling of 264616013 in words is "two hundred sixty-four million, six hundred sixteen thousand, thirteen".