263845872474601 has 2 divisors, whose sum is σ = 263845872474602. Its totient is φ = 263845872474600.

The previous prime is 263845872474599. The next prime is 263845872474647. The reversal of 263845872474601 is 106474278548362.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 147440330535001 + 116405541939600 = 12142501^2 + 10789140^2 .

It is a cyclic number.

It is not a de Polignac number, because 263845872474601 - 2¹ = 263845872474599 is a prime.

It is a super-2 number, since 2×263845872474601² (a number of 30 digits) contains 22 as substring.

Together with 263845872474599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (263845872474901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131922936237300 + 131922936237301.

It is an arithmetic number, because the mean of its divisors is an integer number (131922936237301).

Almost surely, 2^{263845872474601} is an apocalyptic number.

It is an amenable number.

263845872474601 is a deficient number, since it is larger than the sum of its proper divisors (1).

263845872474601 is an equidigital number, since it uses as much as digits as its factorization.

263845872474601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 433520640, while the sum is 67.

The spelling of 263845872474601 in words is "two hundred sixty-three trillion, eight hundred forty-five billion, eight hundred seventy-two million, four hundred seventy-four thousand, six hundred one".