2556553650617 has 2 divisors, whose sum is σ = 2556553650618. Its totient is φ = 2556553650616.

The previous prime is 2556553650583. The next prime is 2556553650661. The reversal of 2556553650617 is 7160563556552.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2433961933456 + 122591717161 = 1560116^2 + 350131^2 .

It is a cyclic number.

It is not a de Polignac number, because 2556553650617 - 2¹⁰ = 2556553649593 is a prime.

It is not a weakly prime, because it can be changed into another prime (2556553650667) 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, 1278276825308 + 1278276825309.

It is an arithmetic number, because the mean of its divisors is an integer number (1278276825309).

Almost surely, 2^{2556553650617} is an apocalyptic number.

It is an amenable number.

2556553650617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2556553650617 is an equidigital number, since it uses as much as digits as its factorization.

2556553650617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28350000, while the sum is 56.

The spelling of 2556553650617 in words is "two trillion, five hundred fifty-six billion, five hundred fifty-three million, six hundred fifty thousand, six hundred seventeen".