1055001106081 has 16 divisors (see below), whose sum is σ = 1207330672464. Its totient is φ = 913253105664.

The previous prime is 1055001106073. The next prime is 1055001106097. The reversal of 1055001106081 is 1806011005501.

It can be written as a sum of positive squares in 8 ways, for example, as 16723662400 + 1038277443681 = 129320^2 + 1018959^2 .

It is a cyclic number.

It is not a de Polignac number, because 1055001106081 - 2³ = 1055001106073 is a prime.

It is a super-2 number, since 2×1055001106081² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1055001106381) 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, 8555680 + ... + 8678113.

It is an arithmetic number, because the mean of its divisors is an integer number (75458167029).

Almost surely, 2^{1055001106081} is an apocalyptic number.

It is an amenable number.

1055001106081 is a deficient number, since it is larger than the sum of its proper divisors (152329566383).

1055001106081 is a wasteful number, since it uses less digits than its factorization.

1055001106081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17234100.

The product of its (nonzero) digits is 1200, while the sum is 28.

The spelling of 1055001106081 in words is "one trillion, fifty-five billion, one million, one hundred six thousand, eighty-one".