1205280009793 has 2 divisors, whose sum is σ = 1205280009794. Its totient is φ = 1205280009792.

The previous prime is 1205280009737. The next prime is 1205280009841. The reversal of 1205280009793 is 3979000825021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1088802510849 + 116477498944 = 1043457^2 + 341288^2 .

It is a cyclic number.

It is not a de Polignac number, because 1205280009793 - 2²⁹ = 1204743138881 is a prime.

It is a super-2 number, since 2×1205280009793² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1205280003793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 602640004896 + 602640004897.

It is an arithmetic number, because the mean of its divisors is an integer number (602640004897).

Almost surely, 2^{1205280009793} is an apocalyptic number.

It is an amenable number.

1205280009793 is a deficient number, since it is larger than the sum of its proper divisors (1).

1205280009793 is an equidigital number, since it uses as much as digits as its factorization.

1205280009793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 1205280009793 in words is "one trillion, two hundred five billion, two hundred eighty million, nine thousand, seven hundred ninety-three".