263323948801 has 9 divisors (see below), whose sum is σ = 264068576451. Its totient is φ = 262581419304.

The previous prime is 263323948793. The next prime is 263323948807. The reversal of 263323948801 is 108849323362.

The square root of 263323948801 is 513151.

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

263323948801 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 only one way, i.e., 151594201201 + 111729747600 = 389351^2 + 334260^2 .

It is not a de Polignac number, because 263323948801 - 2³ = 263323948793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (263323948807) 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 8 ways as a sum of consecutive naturals, for example, 317640055 + ... + 317640883.

It is an arithmetic number, because the mean of its divisors is an integer number (29340952939).

Almost surely, 2^263323948801 is an apocalyptic number.

263323948801 is the 513151-st square number.

263323948801 is the 256576-th centered octagonal number.

It is an amenable number.

263323948801 is a deficient number, since it is larger than the sum of its proper divisors (744627650).

263323948801 is an frugal number, since it uses more digits than its factorization.

263323948801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

Multiplying 263323948801 by its sum of digits (49), we get a square (12902873491249 = 3592057²).

The spelling of 263323948801 in words is "two hundred sixty-three billion, three hundred twenty-three million, nine hundred forty-eight thousand, eight hundred one".