1005055605601 has 12 divisors (see below), whose sum is σ = 1015100311680. Its totient is φ = 995109197720.

The previous prime is 1005055605529. The next prime is 1005055605727. The reversal of 1005055605601 is 1065065505001.

It is not a de Polignac number, because 1005055605601 - 2⁹ = 1005055605089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005055605901) 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, 21397620 + ... + 21444538.

It is an arithmetic number, because the mean of its divisors is an integer number (84591692640).

Almost surely, 2^{1005055605601} is an apocalyptic number.

It is an amenable number.

1005055605601 is a deficient number, since it is larger than the sum of its proper divisors (10044706079).

1005055605601 is an equidigital number, since it uses as much as digits as its factorization.

1005055605601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49004 (or 48897 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 1005055605601 in words is "one trillion, five billion, fifty-five million, six hundred five thousand, six hundred one".