264396498025 has 27 divisors (see below), whose sum is σ = 360404421573. Its totient is φ = 192267794400.

The previous prime is 264396498013. The next prime is 264396498029. The reversal of 264396498025 is 520894693462.

The square root of 264396498025 is 514195.

It is a perfect power (a square), and thus also a powerful number.

264396498025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18674042409 + 245722455616 = 136653^2 + 495704^2 .

It is not a de Polignac number, because 264396498025 - 2¹⁵ = 264396465257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264396498029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28276051 + ... + 28285399.

Almost surely, 2^264396498025 is an apocalyptic number.

264396498025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

264396498025 is the 514195-th square number.

264396498025 is the 257098-th centered octagonal number.

It is an amenable number.

264396498025 is a deficient number, since it is larger than the sum of its proper divisors (96007923548).

264396498025 is an frugal number, since it uses more digits than its factorization.

264396498025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18730 (or 9365 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 58.

The spelling of 264396498025 in words is "two hundred sixty-four billion, three hundred ninety-six million, four hundred ninety-eight thousand, twenty-five".