1005560105553 has 12 divisors (see below), whose sum is σ = 1487901945348. Its totient is φ = 654022832640.

The previous prime is 1005560105551. The next prime is 1005560105569. The reversal of 1005560105553 is 3555010655001.

1005560105553 is a `hidden beast` number, since 1 + 0 + 0 + 556 + 0 + 1 + 0 + 55 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 160967859264 + 844592246289 = 401208^2 + 919017^2 .

It is not a de Polignac number, because 1005560105553 - 2¹ = 1005560105551 is a prime.

It is a super-2 number, since 2×1005560105553² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005560105551) 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, 1362547200 + ... + 1362547937.

It is an arithmetic number, because the mean of its divisors is an integer number (123991828779).

Almost surely, 2^{1005560105553} is an apocalyptic number.

It is an amenable number.

1005560105553 is a deficient number, since it is larger than the sum of its proper divisors (482341839795).

1005560105553 is a wasteful number, since it uses less digits than its factorization.

1005560105553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725095184 (or 2725095181 counting only the distinct ones).

The product of its (nonzero) digits is 56250, while the sum is 36.

The spelling of 1005560105553 in words is "one trillion, five billion, five hundred sixty million, one hundred five thousand, five hundred fifty-three".