1056506566601 has 2 divisors, whose sum is σ = 1056506566602. Its totient is φ = 1056506566600.

The previous prime is 1056506566571. The next prime is 1056506566667. The reversal of 1056506566601 is 1066656056501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1054833756601 + 1672810000 = 1027051^2 + 40900^2 .

It is a cyclic number.

It is not a de Polignac number, because 1056506566601 - 2¹⁰ = 1056506565577 is a prime.

It is a super-2 number, since 2×1056506566601² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1056506566681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528253283300 + 528253283301.

It is an arithmetic number, because the mean of its divisors is an integer number (528253283301).

Almost surely, 2^{1056506566601} is an apocalyptic number.

It is an amenable number.

1056506566601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1056506566601 is an equidigital number, since it uses as much as digits as its factorization.

1056506566601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972000, while the sum is 47.

The spelling of 1056506566601 in words is "one trillion, fifty-six billion, five hundred six million, five hundred sixty-six thousand, six hundred one".