824555561 has 2 divisors, whose sum is σ = 824555562. Its totient is φ = 824555560.

The previous prime is 824555519. The next prime is 824555569. The reversal of 824555561 is 165555428.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 639078400 + 185477161 = 25280^2 + 13619^2 .

It is a cyclic number.

It is not a de Polignac number, because 824555561 - 2¹⁰ = 824554537 is a prime.

It is not a weakly prime, because it can be changed into another prime (824555569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412277780 + 412277781.

It is an arithmetic number, because the mean of its divisors is an integer number (412277781).

Almost surely, 2^824555561 is an apocalyptic number.

It is an amenable number.

824555561 is a deficient number, since it is larger than the sum of its proper divisors (1).

824555561 is an equidigital number, since it uses as much as digits as its factorization.

824555561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 240000, while the sum is 41.

The square root of 824555561 is about 28715.0755005102. The cubic root of 824555561 is about 937.7202795210.

The spelling of 824555561 in words is "eight hundred twenty-four million, five hundred fifty-five thousand, five hundred sixty-one".