677125665017 has 2 divisors, whose sum is σ = 677125665018. Its totient is φ = 677125665016.

The previous prime is 677125664981. The next prime is 677125665019. The reversal of 677125665017 is 710566521776.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 578589943801 + 98535721216 = 760651^2 + 313904^2 .

It is a cyclic number.

It is not a de Polignac number, because 677125665017 - 2⁶ = 677125664953 is a prime.

It is a super-2 number, since 2×677125665017² (a number of 24 digits) contains 22 as substring.

Together with 677125665019, 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 677125665017.

It is not a weakly prime, because it can be changed into another prime (677125665019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338562832508 + 338562832509.

It is an arithmetic number, because the mean of its divisors is an integer number (338562832509).

Almost surely, 2^677125665017 is an apocalyptic number.

It is an amenable number.

677125665017 is a deficient number, since it is larger than the sum of its proper divisors (1).

677125665017 is an equidigital number, since it uses as much as digits as its factorization.

677125665017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3704400, while the sum is 53.

The spelling of 677125665017 in words is "six hundred seventy-seven billion, one hundred twenty-five million, six hundred sixty-five thousand, seventeen".