1055105610511 has 16 divisors (see below), whose sum is σ = 1080018432000. Its totient is φ = 1030473480960.

The previous prime is 1055105610509. The next prime is 1055105610527. The reversal of 1055105610511 is 1150165015501.

It is a cyclic number.

It is not a de Polignac number, because 1055105610511 - 2¹ = 1055105610509 is a prime.

It is a super-2 number, since 2×1055105610511² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055105613511) 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 15 ways as a sum of consecutive naturals, for example, 12713631 + ... + 12796351.

It is an arithmetic number, because the mean of its divisors is an integer number (67501152000).

Almost surely, 2^{1055105610511} is an apocalyptic number.

1055105610511 is a deficient number, since it is larger than the sum of its proper divisors (24912821489).

1055105610511 is a wasteful number, since it uses less digits than its factorization.

1055105610511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84414.

The product of its (nonzero) digits is 3750, while the sum is 31.

The spelling of 1055105610511 in words is "one trillion, fifty-five billion, one hundred five million, six hundred ten thousand, five hundred eleven".