263778854400041 has 2 divisors, whose sum is σ = 263778854400042. Its totient is φ = 263778854400040.

The previous prime is 263778854399989. The next prime is 263778854400079. The reversal of 263778854400041 is 140004458877362.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 239213240910400 + 24565613489641 = 15466520^2 + 4956371^2 .

It is a cyclic number.

It is not a de Polignac number, because 263778854400041 - 2¹⁴ = 263778854383657 is a prime.

It is not a weakly prime, because it can be changed into another prime (263778854403041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131889427200020 + 131889427200021.

It is an arithmetic number, because the mean of its divisors is an integer number (131889427200021).

Almost surely, 2^{263778854400041} is an apocalyptic number.

It is an amenable number.

263778854400041 is a deficient number, since it is larger than the sum of its proper divisors (1).

263778854400041 is an equidigital number, since it uses as much as digits as its factorization.

263778854400041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36126720, while the sum is 59.

The spelling of 263778854400041 in words is "two hundred sixty-three trillion, seven hundred seventy-eight billion, eight hundred fifty-four million, four hundred thousand, forty-one".