677248444842757 has 2 divisors, whose sum is σ = 677248444842758. Its totient is φ = 677248444842756.

The previous prime is 677248444842733. The next prime is 677248444842803. The reversal of 677248444842757 is 757248444842776.

677248444842757 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., 677077140738436 + 171304104321 = 26020706^2 + 413889^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-677248444842757 is a prime.

It is a super-2 number, since 2×677248444842757² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (677248444845757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338624222421378 + 338624222421379.

It is an arithmetic number, because the mean of its divisors is an integer number (338624222421379).

Almost surely, 2^{677248444842757} is an apocalyptic number.

It is an amenable number.

677248444842757 is a deficient number, since it is larger than the sum of its proper divisors (1).

677248444842757 is an equidigital number, since it uses as much as digits as its factorization.

677248444842757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18882232320, while the sum is 79.

The spelling of 677248444842757 in words is "six hundred seventy-seven trillion, two hundred forty-eight billion, four hundred forty-four million, eight hundred forty-two thousand, seven hundred fifty-seven".