563352431131361 has 2 divisors, whose sum is σ = 563352431131362. Its totient is φ = 563352431131360.

The previous prime is 563352431131327. The next prime is 563352431131387. The reversal of 563352431131361 is 163131134253365.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 540656201560225 + 22696229571136 = 23252015^2 + 4764056^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-563352431131361 is a prime.

It is a super-2 number, since 2×563352431131361² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (563352431131561) 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, 281676215565680 + 281676215565681.

It is an arithmetic number, because the mean of its divisors is an integer number (281676215565681).

Almost surely, 2^{563352431131361} is an apocalyptic number.

It is an amenable number.

563352431131361 is a deficient number, since it is larger than the sum of its proper divisors (1).

563352431131361 is an equidigital number, since it uses as much as digits as its factorization.

563352431131361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1749600, while the sum is 47.

The spelling of 563352431131361 in words is "five hundred sixty-three trillion, three hundred fifty-two billion, four hundred thirty-one million, one hundred thirty-one thousand, three hundred sixty-one".