6456588856561 has 2 divisors, whose sum is σ = 6456588856562. Its totient is φ = 6456588856560.

The previous prime is 6456588856439. The next prime is 6456588856567. The reversal of 6456588856561 is 1656588856546.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4870160440336 + 1586428416225 = 2206844^2 + 1259535^2 .

It is a cyclic number.

It is not a de Polignac number, because 6456588856561 - 2²⁷ = 6456454638833 is a prime.

It is not a weakly prime, because it can be changed into another prime (6456588856567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3228294428280 + 3228294428281.

It is an arithmetic number, because the mean of its divisors is an integer number (3228294428281).

Almost surely, 2^{6456588856561} is an apocalyptic number.

It is an amenable number.

6456588856561 is a deficient number, since it is larger than the sum of its proper divisors (1).

6456588856561 is an equidigital number, since it uses as much as digits as its factorization.

6456588856561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1658880000, while the sum is 73.

The spelling of 6456588856561 in words is "six trillion, four hundred fifty-six billion, five hundred eighty-eight million, eight hundred fifty-six thousand, five hundred sixty-one".