2628485564777 has 2 divisors, whose sum is σ = 2628485564778. Its totient is φ = 2628485564776.

The previous prime is 2628485564717. The next prime is 2628485564797. The reversal of 2628485564777 is 7774655848262.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2267135501401 + 361350063376 = 1505701^2 + 601124^2 .

It is a cyclic number.

It is not a de Polignac number, because 2628485564777 - 2²⁶ = 2628418455913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2628485564777.

It is not a weakly prime, because it can be changed into another prime (2628485564717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1314242782388 + 1314242782389.

It is an arithmetic number, because the mean of its divisors is an integer number (1314242782389).

Almost surely, 2^{2628485564777} is an apocalyptic number.

It is an amenable number.

2628485564777 is a deficient number, since it is larger than the sum of its proper divisors (1).

2628485564777 is an equidigital number, since it uses as much as digits as its factorization.

2628485564777 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1264435200, while the sum is 71.

The spelling of 2628485564777 in words is "two trillion, six hundred twenty-eight billion, four hundred eighty-five million, five hundred sixty-four thousand, seven hundred seventy-seven".