1005455555101 has 8 divisors (see below), whose sum is σ = 1008344446200. Its totient is φ = 1002569551872.

The previous prime is 1005455555099. The next prime is 1005455555171. The reversal of 1005455555101 is 1015555545001.

1005455555101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 40638528100 + 964817027001 = 201590^2 + 982251^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005455555101 - 2¹ = 1005455555099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005455555171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23670 + ... + 1418263.

It is an arithmetic number, because the mean of its divisors is an integer number (126043055775).

Almost surely, 2^{1005455555101} is an apocalyptic number.

It is an amenable number.

1005455555101 is a deficient number, since it is larger than the sum of its proper divisors (2888891099).

1005455555101 is a wasteful number, since it uses less digits than its factorization.

1005455555101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443935.

The product of its (nonzero) digits is 62500, while the sum is 37.

The spelling of 1005455555101 in words is "one trillion, five billion, four hundred fifty-five million, five hundred fifty-five thousand, one hundred one".