2305008690769 has 2 divisors, whose sum is σ = 2305008690770. Its totient is φ = 2305008690768.

The previous prime is 2305008690679. The next prime is 2305008690793. The reversal of 2305008690769 is 9670968005032.

Together with previous prime (2305008690679) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2293598178369 + 11410512400 = 1514463^2 + 106820^2 .

It is a cyclic number.

It is not a de Polignac number, because 2305008690769 - 2¹³ = 2305008682577 is a prime.

It is a super-2 number, since 2×2305008690769² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2305008660769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1152504345384 + 1152504345385.

It is an arithmetic number, because the mean of its divisors is an integer number (1152504345385).

Almost surely, 2^{2305008690769} is an apocalyptic number.

It is an amenable number.

2305008690769 is a deficient number, since it is larger than the sum of its proper divisors (1).

2305008690769 is an equidigital number, since it uses as much as digits as its factorization.

2305008690769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 2305008690769 in words is "two trillion, three hundred five billion, eight million, six hundred ninety thousand, seven hundred sixty-nine".