264400033 has 2 divisors, whose sum is σ = 264400034. Its totient is φ = 264400032.

The previous prime is 264400013. The next prime is 264400049. The reversal of 264400033 is 330004462.

264400033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142253329 + 122146704 = 11927^2 + 11052^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-264400033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 264399977 and 264400013.

It is not a weakly prime, because it can be changed into another prime (264400013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132200016 + 132200017.

It is an arithmetic number, because the mean of its divisors is an integer number (132200017).

Almost surely, 2^264400033 is an apocalyptic number.

It is an amenable number.

264400033 is a deficient number, since it is larger than the sum of its proper divisors (1).

264400033 is an equidigital number, since it uses as much as digits as its factorization.

264400033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 264400033 is about 16260.3823140786. The cubic root of 264400033 is about 641.8307225729.

Adding to 264400033 its reverse (330004462), we get a palindrome (594404495).

The spelling of 264400033 in words is "two hundred sixty-four million, four hundred thousand, thirty-three".