1005600561001 has 2 divisors, whose sum is σ = 1005600561002. Its totient is φ = 1005600561000.

The previous prime is 1005600560959. The next prime is 1005600561011. The reversal of 1005600561001 is 1001650065001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1001590632025 + 4009928976 = 1000795^2 + 63324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005600561001 is a prime.

It is a super-2 number, since 2×1005600561001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005600561011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502800280500 + 502800280501.

It is an arithmetic number, because the mean of its divisors is an integer number (502800280501).

Almost surely, 2^{1005600561001} is an apocalyptic number.

It is an amenable number.

1005600561001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005600561001 is an equidigital number, since it uses as much as digits as its factorization.

1005600561001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 1005600561001 in words is "one trillion, five billion, six hundred million, five hundred sixty-one thousand, one".