1005563655997 has 2 divisors, whose sum is σ = 1005563655998. Its totient is φ = 1005563655996.

The previous prime is 1005563655991. The next prime is 1005563656091. The reversal of 1005563655997 is 7995563655001.

1005563655997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 997559490841 + 8004165156 = 998779^2 + 89466^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005563655997 - 2³⁹ = 455807842109 is a prime.

It is a super-2 number, since 2×1005563655997² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005563655991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502781827998 + 502781827999.

It is an arithmetic number, because the mean of its divisors is an integer number (502781827999).

Almost surely, 2^{1005563655997} is an apocalyptic number.

It is an amenable number.

1005563655997 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005563655997 is an equidigital number, since it uses as much as digits as its factorization.

1005563655997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38272500, while the sum is 61.

The spelling of 1005563655997 in words is "one trillion, five billion, five hundred sixty-three million, six hundred fifty-five thousand, nine hundred ninety-seven".