263564641 has 2 divisors, whose sum is σ = 263564642. Its totient is φ = 263564640.

The previous prime is 263564627. The next prime is 263564657. The reversal of 263564641 is 146465362.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 260661025 + 2903616 = 16145^2 + 1704^2 .

It is a cyclic number.

It is not a de Polignac number, because 263564641 - 2⁹ = 263564129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 263564641.

It is not a weakly prime, because it can be changed into another prime (263564621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131782320 + 131782321.

It is an arithmetic number, because the mean of its divisors is an integer number (131782321).

Almost surely, 2^263564641 is an apocalyptic number.

It is an amenable number.

263564641 is a deficient number, since it is larger than the sum of its proper divisors (1).

263564641 is an equidigital number, since it uses as much as digits as its factorization.

263564641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 103680, while the sum is 37.

The square root of 263564641 is about 16234.6740343008. The cubic root of 263564641 is about 641.1540384099.

It can be divided in two parts, 2635 and 64641, that added together give a palindrome (67276).

The spelling of 263564641 in words is "two hundred sixty-three million, five hundred sixty-four thousand, six hundred forty-one".