210564680655361 has 2 divisors, whose sum is σ = 210564680655362. Its totient is φ = 210564680655360.

The previous prime is 210564680655347. The next prime is 210564680655389. The reversal of 210564680655361 is 163556086465012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210533860746225 + 30819909136 = 14509785^2 + 175556^2 .

It is a cyclic number.

It is not a de Polignac number, because 210564680655361 - 2⁹ = 210564680654849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210564680655296 and 210564680655305.

It is not a weakly prime, because it can be changed into another prime (210564680655391) 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, 105282340327680 + 105282340327681.

It is an arithmetic number, because the mean of its divisors is an integer number (105282340327681).

Almost surely, 2^{210564680655361} is an apocalyptic number.

It is an amenable number.

210564680655361 is a deficient number, since it is larger than the sum of its proper divisors (1).

210564680655361 is an equidigital number, since it uses as much as digits as its factorization.

210564680655361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104000, while the sum is 58.

The spelling of 210564680655361 in words is "two hundred ten trillion, five hundred sixty-four billion, six hundred eighty million, six hundred fifty-five thousand, three hundred sixty-one".