1305883778377 has 2 divisors, whose sum is σ = 1305883778378. Its totient is φ = 1305883778376.

The previous prime is 1305883778359. The next prime is 1305883778389. The reversal of 1305883778377 is 7738773885031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1236052544841 + 69831233536 = 1111779^2 + 264256^2 .

It is a cyclic number.

It is not a de Polignac number, because 1305883778377 - 2²⁷ = 1305749560649 is a prime.

It is not a weakly prime, because it can be changed into another prime (1305883770377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652941889188 + 652941889189.

It is an arithmetic number, because the mean of its divisors is an integer number (652941889189).

Almost surely, 2^{1305883778377} is an apocalyptic number.

It is an amenable number.

1305883778377 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305883778377 is an equidigital number, since it uses as much as digits as its factorization.

1305883778377 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 165957120, while the sum is 67.

The spelling of 1305883778377 in words is "one trillion, three hundred five billion, eight hundred eighty-three million, seven hundred seventy-eight thousand, three hundred seventy-seven".