1010605110561 has 12 divisors (see below), whose sum is σ = 1484504682960. Its totient is φ = 662317473240.

The previous prime is 1010605110527. The next prime is 1010605110601. The reversal of 1010605110561 is 1650115060101.

1010605110561 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 605 + 1 + 1 + 0 + 56 + 1 = 666.

It is not a de Polignac number, because 1010605110561 - 2³³ = 1002015175969 is a prime.

It is a super-2 number, since 2×1010605110561² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010605110511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 951605035 + ... + 951606096.

It is an arithmetic number, because the mean of its divisors is an integer number (123708723580).

Almost surely, 2^{1010605110561} is an apocalyptic number.

It is an amenable number.

1010605110561 is a deficient number, since it is larger than the sum of its proper divisors (473899572399).

1010605110561 is a wasteful number, since it uses less digits than its factorization.

1010605110561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903211196 (or 1903211193 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 1010605110561 in words is "one trillion, ten billion, six hundred five million, one hundred ten thousand, five hundred sixty-one".