263120841 has 9 divisors (see below), whose sum is σ = 380133741. Its totient is φ = 175381452.

The previous prime is 263120807. The next prime is 263120843. The reversal of 263120841 is 148021362.

The square root of 263120841 is 16221.

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

263120841 is a `hidden beast` number, since 2 + 631 + 20 + 8 + 4 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 263120841 - 2¹³ = 263112649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (263120843) 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, 45960 + ... + 51366.

Almost surely, 2^263120841 is an apocalyptic number.

263120841 is the 16221-st square number.

263120841 is the 8111-st centered octagonal number.

It is an amenable number.

263120841 is a deficient number, since it is larger than the sum of its proper divisors (117012900).

263120841 is an frugal number, since it uses more digits than its factorization.

263120841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10820 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 263120841 is about 640.7939698521.

Multiplying 263120841 by its product of nonzero digits (2304), we get a square (606230417664 = 778608²).

It can be divided in two parts, 263 and 120841, that added together give a square (121104 = 348²).

The spelling of 263120841 in words is "two hundred sixty-three million, one hundred twenty thousand, eight hundred forty-one".