677855558801 has 2 divisors, whose sum is σ = 677855558802. Its totient is φ = 677855558800.

The previous prime is 677855558773. The next prime is 677855558813. The reversal of 677855558801 is 108855558776.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 671824483201 + 6031075600 = 819649^2 + 77660^2 .

It is a cyclic number.

It is not a de Polignac number, because 677855558801 - 2¹⁴ = 677855542417 is a prime.

It is not a weakly prime, because it can be changed into another prime (677855558201) 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, 338927779400 + 338927779401.

It is an arithmetic number, because the mean of its divisors is an integer number (338927779401).

Almost surely, 2^677855558801 is an apocalyptic number.

It is an amenable number.

677855558801 is a deficient number, since it is larger than the sum of its proper divisors (1).

677855558801 is an equidigital number, since it uses as much as digits as its factorization.

677855558801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 94080000, while the sum is 65.

The spelling of 677855558801 in words is "six hundred seventy-seven billion, eight hundred fifty-five million, five hundred fifty-eight thousand, eight hundred one".