42677248657 has 2 divisors, whose sum is σ = 42677248658. Its totient is φ = 42677248656.

The previous prime is 42677248643. The next prime is 42677248721. The reversal of 42677248657 is 75684277624.

42677248657 is digitally balanced in base 2, 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., 30205049616 + 12472199041 = 173796^2 + 111679^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42677248657 is a prime.

It is not a weakly prime, because it can be changed into another prime (42677243657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21338624328 + 21338624329.

It is an arithmetic number, because the mean of its divisors is an integer number (21338624329).

Almost surely, 2^42677248657 is an apocalyptic number.

It is an amenable number.

42677248657 is a deficient number, since it is larger than the sum of its proper divisors (1).

42677248657 is an equidigital number, since it uses as much as digits as its factorization.

42677248657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 31610880, while the sum is 58.

The spelling of 42677248657 in words is "forty-two billion, six hundred seventy-seven million, two hundred forty-eight thousand, six hundred fifty-seven".