77955457313 has 2 divisors, whose sum is σ = 77955457314. Its totient is φ = 77955457312.

The previous prime is 77955457309. The next prime is 77955457343. The reversal of 77955457313 is 31375455977.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59938301329 + 18017155984 = 244823^2 + 134228^2 .

It is an emirp because it is prime and its reverse (31375455977) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77955457313 - 2² = 77955457309 is a prime.

It is not a weakly prime, because it can be changed into another prime (77955457303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38977728656 + 38977728657.

It is an arithmetic number, because the mean of its divisors is an integer number (38977728657).

Almost surely, 2^77955457313 is an apocalyptic number.

It is an amenable number.

77955457313 is a deficient number, since it is larger than the sum of its proper divisors (1).

77955457313 is an equidigital number, since it uses as much as digits as its factorization.

77955457313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13891500, while the sum is 56.

The spelling of 77955457313 in words is "seventy-seven billion, nine hundred fifty-five million, four hundred fifty-seven thousand, three hundred thirteen".