1011005110561 has 2 divisors, whose sum is σ = 1011005110562. Its totient is φ = 1011005110560.

The previous prime is 1011005110523. The next prime is 1011005110579. The reversal of 1011005110561 is 1650115001101.

1011005110561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 711762195600 + 299242914961 = 843660^2 + 547031^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011005110561 - 2²⁷ = 1010870892833 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011005210561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505502555280 + 505502555281.

It is an arithmetic number, because the mean of its divisors is an integer number (505502555281).

Almost surely, 2^{1011005110561} is an apocalyptic number.

It is an amenable number.

1011005110561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011005110561 is an equidigital number, since it uses as much as digits as its factorization.

1011005110561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 150, while the sum is 22.

The spelling of 1011005110561 in words is "one trillion, eleven billion, five million, one hundred ten thousand, five hundred sixty-one".