8005353077 has 2 divisors, whose sum is σ = 8005353078. Its totient is φ = 8005353076.

The previous prime is 8005353019. The next prime is 8005353079. The reversal of 8005353077 is 7703535008.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4336749316 + 3668603761 = 65854^2 + 60569^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8005353077 is a prime.

Together with 8005353079, 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 8005353077.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8005353079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4002676538 + 4002676539.

It is an arithmetic number, because the mean of its divisors is an integer number (4002676539).

Almost surely, 2^8005353077 is an apocalyptic number.

It is an amenable number.

8005353077 is a deficient number, since it is larger than the sum of its proper divisors (1).

8005353077 is an equidigital number, since it uses as much as digits as its factorization.

8005353077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 8005353077 is about 89472.6387059195. The cubic root of 8005353077 is about 2000.4459902889.

The spelling of 8005353077 in words is "eight billion, five million, three hundred fifty-three thousand, seventy-seven".