1005110561057 has 2 divisors, whose sum is σ = 1005110561058. Its totient is φ = 1005110561056.

The previous prime is 1005110561029. The next prime is 1005110561107. The reversal of 1005110561057 is 7501650115001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 965327865121 + 39782695936 = 982511^2 + 199456^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005110561057 - 2²⁰ = 1005109512481 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005110551057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502555280528 + 502555280529.

It is an arithmetic number, because the mean of its divisors is an integer number (502555280529).

Almost surely, 2^{1005110561057} is an apocalyptic number.

It is an amenable number.

1005110561057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005110561057 is an equidigital number, since it uses as much as digits as its factorization.

1005110561057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5250, while the sum is 32.

Adding to 1005110561057 its reverse (7501650115001), we get a palindrome (8506760676058).

The spelling of 1005110561057 in words is "one trillion, five billion, one hundred ten million, five hundred sixty-one thousand, fifty-seven".