1092567658241 has 2 divisors, whose sum is σ = 1092567658242. Its totient is φ = 1092567658240.

The previous prime is 1092567658229. The next prime is 1092567658309. The reversal of 1092567658241 is 1428567652901.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 979674346225 + 112893312016 = 989785^2 + 335996^2 .

It is an emirp because it is prime and its reverse (1428567652901) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1092567658241 - 2²⁶ = 1092500549377 is a prime.

It is not a weakly prime, because it can be changed into another prime (1092567658841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 546283829120 + 546283829121.

It is an arithmetic number, because the mean of its divisors is an integer number (546283829121).

Almost surely, 2^{1092567658241} is an apocalyptic number.

It is an amenable number.

1092567658241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1092567658241 is an equidigital number, since it uses as much as digits as its factorization.

1092567658241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7257600, while the sum is 56.

The spelling of 1092567658241 in words is "one trillion, ninety-two billion, five hundred sixty-seven million, six hundred fifty-eight thousand, two hundred forty-one".