242766402136241 has 2 divisors, whose sum is σ = 242766402136242. Its totient is φ = 242766402136240.

The previous prime is 242766402136211. The next prime is 242766402136243. The reversal of 242766402136241 is 142631204667242.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221215647822400 + 21550754313841 = 14873320^2 + 4642279^2 .

It is a cyclic number.

It is not a de Polignac number, because 242766402136241 - 2⁶ = 242766402136177 is a prime.

It is a super-2 number, since 2×242766402136241² (a number of 30 digits) contains 22 as substring.

Together with 242766402136243, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 242766402136241.

It is not a weakly prime, because it can be changed into another prime (242766402136243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121383201068120 + 121383201068121.

It is an arithmetic number, because the mean of its divisors is an integer number (121383201068121).

Almost surely, 2^{242766402136241} is an apocalyptic number.

It is an amenable number.

242766402136241 is a deficient number, since it is larger than the sum of its proper divisors (1).

242766402136241 is an equidigital number, since it uses as much as digits as its factorization.

242766402136241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4644864, while the sum is 50.

The spelling of 242766402136241 in words is "two hundred forty-two trillion, seven hundred sixty-six billion, four hundred two million, one hundred thirty-six thousand, two hundred forty-one".