2631111120577 has 2 divisors, whose sum is σ = 2631111120578. Its totient is φ = 2631111120576.

The previous prime is 2631111120553. The next prime is 2631111120619. The reversal of 2631111120577 is 7750211111362.

2631111120577 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2521185054976 + 109926065601 = 1587824^2 + 331551^2 .

It is a cyclic number.

It is not a de Polignac number, because 2631111120577 - 2¹¹ = 2631111118529 is a prime.

It is not a weakly prime, because it can be changed into another prime (2631111120527) 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, 1315555560288 + 1315555560289.

It is an arithmetic number, because the mean of its divisors is an integer number (1315555560289).

Almost surely, 2^{2631111120577} is an apocalyptic number.

It is an amenable number.

2631111120577 is a deficient number, since it is larger than the sum of its proper divisors (1).

2631111120577 is an equidigital number, since it uses as much as digits as its factorization.

2631111120577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17640, while the sum is 37.

The spelling of 2631111120577 in words is "two trillion, six hundred thirty-one billion, one hundred eleven million, one hundred twenty thousand, five hundred seventy-seven".