264385013 has 2 divisors, whose sum is σ = 264385014. Its totient is φ = 264385012.

The previous prime is 264384997. The next prime is 264385021. The reversal of 264385013 is 310583462.

264385013 = 11497² + 11498².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132204004 + 132181009 = 11498^2 + 11497^2 .

It is a cyclic number.

It is not a de Polignac number, because 264385013 - 2⁴ = 264384997 is a prime.

It is a super-3 number, since 3×264385013³ (a number of 26 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264385073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132192506 + 132192507.

It is an arithmetic number, because the mean of its divisors is an integer number (132192507).

Almost surely, 2^264385013 is an apocalyptic number.

264385013 is the 11498-th centered square number.

It is an amenable number.

264385013 is a deficient number, since it is larger than the sum of its proper divisors (1).

264385013 is an equidigital number, since it uses as much as digits as its factorization.

264385013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 264385013 is about 16259.9204487599. The cubic root of 264385013 is about 641.8185686662.

The spelling of 264385013 in words is "two hundred sixty-four million, three hundred eighty-five thousand, thirteen".