1005050605561 has 2 divisors, whose sum is σ = 1005050605562. Its totient is φ = 1005050605560.

The previous prime is 1005050605547. The next prime is 1005050605627. The reversal of 1005050605561 is 1655060505001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 506552475625 + 498498129936 = 711725^2 + 706044^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005050605561 - 2¹⁷ = 1005050474489 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005050605661) 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, 502525302780 + 502525302781.

It is an arithmetic number, because the mean of its divisors is an integer number (502525302781).

Almost surely, 2^{1005050605561} is an apocalyptic number.

It is an amenable number.

1005050605561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005050605561 is an equidigital number, since it uses as much as digits as its factorization.

1005050605561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 1005050605561 in words is "one trillion, five billion, fifty million, six hundred five thousand, five hundred sixty-one".