264900893 has 2 divisors, whose sum is σ = 264900894. Its totient is φ = 264900892.

The previous prime is 264900833. The next prime is 264900901. The reversal of 264900893 is 398009462.

It is a happy number.

264900893 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., 157301764 + 107599129 = 12542^2 + 10373^2 .

It is a cyclic number.

It is not a de Polignac number, because 264900893 - 2²⁰ = 263852317 is a prime.

It is a super-2 number, since 2×264900893² = 140344966224394898, which contains 22 as substring.

It is equal to p_14448668 and since 264900893 and 14448668 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 264900893.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264900833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132450446 + 132450447.

It is an arithmetic number, because the mean of its divisors is an integer number (132450447).

Almost surely, 2^264900893 is an apocalyptic number.

It is an amenable number.

264900893 is a deficient number, since it is larger than the sum of its proper divisors (1).

264900893 is an equidigital number, since it uses as much as digits as its factorization.

264900893 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 264900893 is about 16275.7762641295. The cubic root of 264900893 is about 642.2357459225.

The spelling of 264900893 in words is "two hundred sixty-four million, nine hundred thousand, eight hundred ninety-three".