565485785406557 has 2 divisors, whose sum is σ = 565485785406558. Its totient is φ = 565485785406556.

The previous prime is 565485785406499. The next prime is 565485785406559. The reversal of 565485785406557 is 755604587584565.

565485785406557 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 392087085813721 + 173398699592836 = 19801189^2 + 13168094^2 .

It is a cyclic number.

It is not a de Polignac number, because 565485785406557 - 2¹⁶ = 565485785341021 is a prime.

Together with 565485785406559, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (565485785406559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282742892703278 + 282742892703279.

It is an arithmetic number, because the mean of its divisors is an integer number (282742892703279).

Almost surely, 2^{565485785406557} is an apocalyptic number.

It is an amenable number.

565485785406557 is a deficient number, since it is larger than the sum of its proper divisors (1).

565485785406557 is an equidigital number, since it uses as much as digits as its factorization.

565485785406557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224000000, while the sum is 80.

The spelling of 565485785406557 in words is "five hundred sixty-five trillion, four hundred eighty-five billion, seven hundred eighty-five million, four hundred six thousand, five hundred fifty-seven".