1055611005561 has 48 divisors (see below), whose sum is σ = 1847302329600. Its totient is φ = 567046416384.

The previous prime is 1055611005557. The next prime is 1055611005593. The reversal of 1055611005561 is 1655001165501.

It is a happy number.

It is not a de Polignac number, because 1055611005561 - 2² = 1055611005557 is a prime.

It is a super-2 number, since 2×1055611005561² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055611005661) 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 in 47 ways as a sum of consecutive naturals, for example, 311185 + ... + 1485953.

It is an arithmetic number, because the mean of its divisors is an integer number (38485465200).

Almost surely, 2^{1055611005561} is an apocalyptic number.

It is an amenable number.

1055611005561 is a deficient number, since it is larger than the sum of its proper divisors (791691324039).

1055611005561 is a wasteful number, since it uses less digits than its factorization.

1055611005561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175638 (or 1175635 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 1055611005561 in words is "one trillion, fifty-five billion, six hundred eleven million, five thousand, five hundred sixty-one".