1056164513105 has 16 divisors (see below), whose sum is σ = 1365800184000. Its totient is φ = 779416494528.

The previous prime is 1056164513077. The next prime is 1056164513147. The reversal of 1056164513105 is 5013154616501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1056164513105 - 2²⁴ = 1056147735889 is a prime.

It is a super-2 number, since 2×1056164513105² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5322407 + ... + 5517276.

It is an arithmetic number, because the mean of its divisors is an integer number (85362511500).

Almost surely, 2^{1056164513105} is an apocalyptic number.

It is an amenable number.

1056164513105 is a deficient number, since it is larger than the sum of its proper divisors (309635670895).

1056164513105 is a wasteful number, since it uses less digits than its factorization.

1056164513105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10841200.

The product of its (nonzero) digits is 54000, while the sum is 38.

The spelling of 1056164513105 in words is "one trillion, fifty-six billion, one hundred sixty-four million, five hundred thirteen thousand, one hundred five".