264403564264033 has 2 divisors, whose sum is σ = 264403564264034. Its totient is φ = 264403564264032.

The previous prime is 264403564263961. The next prime is 264403564264069. The reversal of 264403564264033 is 330462465304462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138282735759424 + 126120828504609 = 11759368^2 + 11230353^2 .

It is a cyclic number.

It is not a de Polignac number, because 264403564264033 - 2¹³ = 264403564255841 is a prime.

It is a super-3 number, since 3×264403564264033³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (264403564064033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132201782132016 + 132201782132017.

It is an arithmetic number, because the mean of its divisors is an integer number (132201782132017).

Almost surely, 2^{264403564264033} is an apocalyptic number.

It is an amenable number.

264403564264033 is a deficient number, since it is larger than the sum of its proper divisors (1).

264403564264033 is an equidigital number, since it uses as much as digits as its factorization.

264403564264033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29859840, while the sum is 52.

The spelling of 264403564264033 in words is "two hundred sixty-four trillion, four hundred three billion, five hundred sixty-four million, two hundred sixty-four thousand, thirty-three".