561500417 has 2 divisors, whose sum is σ = 561500418. Its totient is φ = 561500416.

The previous prime is 561500389. The next prime is 561500431. The reversal of 561500417 is 714005165.

It is a Cunningham number, because it is equal to 23696²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 561500416 + 1 = 23696^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 561500417 - 2⁸ = 561500161 is a prime.

It is a super-3 number, since 3×561500417³ (a number of 27 digits) contains 333 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 561500417.

It is not a weakly prime, because it can be changed into another prime (561500437) 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, 280750208 + 280750209.

It is an arithmetic number, because the mean of its divisors is an integer number (280750209).

Almost surely, 2^561500417 is an apocalyptic number.

It is an amenable number.

561500417 is a deficient number, since it is larger than the sum of its proper divisors (1).

561500417 is an equidigital number, since it uses as much as digits as its factorization.

561500417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 561500417 is about 23696.0000211006. Note that the first 4 decimals coincide. The cubic root of 561500417 is about 824.9925518764.

The spelling of 561500417 in words is "five hundred sixty-one million, five hundred thousand, four hundred seventeen".