677865737137 has 2 divisors, whose sum is σ = 677865737138. Its totient is φ = 677865737136.

The previous prime is 677865737113. The next prime is 677865737149. The reversal of 677865737137 is 731737568776.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 639430526736 + 38435210401 = 799644^2 + 196049^2 .

It is a cyclic number.

It is not a de Polignac number, because 677865737137 - 2⁷ = 677865737009 is a prime.

It is not a weakly prime, because it can be changed into another prime (677868737137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338932868568 + 338932868569.

It is an arithmetic number, because the mean of its divisors is an integer number (338932868569).

Almost surely, 2^677865737137 is an apocalyptic number.

It is an amenable number.

677865737137 is a deficient number, since it is larger than the sum of its proper divisors (1).

677865737137 is an equidigital number, since it uses as much as digits as its factorization.

677865737137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 217818720, while the sum is 67.

The spelling of 677865737137 in words is "six hundred seventy-seven billion, eight hundred sixty-five million, seven hundred thirty-seven thousand, one hundred thirty-seven".