2005300769 has 2 divisors, whose sum is σ = 2005300770. Its totient is φ = 2005300768.

The previous prime is 2005300757. The next prime is 2005300771. The reversal of 2005300769 is 9670035002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1895470369 + 109830400 = 43537^2 + 10480^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005300769 - 2¹⁶ = 2005235233 is a prime.

It is a super-3 number, since 3×2005300769³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 2005300771, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2005300789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002650384 + 1002650385.

It is an arithmetic number, because the mean of its divisors is an integer number (1002650385).

Almost surely, 2^2005300769 is an apocalyptic number.

It is an amenable number.

2005300769 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005300769 is an equidigital number, since it uses as much as digits as its factorization.

2005300769 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 2005300769 is about 44780.5847326718. The cubic root of 2005300769 is about 1261.0331597072.

The spelling of 2005300769 in words is "two billion, five million, three hundred thousand, seven hundred sixty-nine".