1005505000055 has 16 divisors (see below), whose sum is σ = 1212862267200. Its totient is φ = 800234443008.

The previous prime is 1005505000013. The next prime is 1005505000117. The reversal of 1005505000055 is 5500005055001.

It is a cyclic number.

It is not a de Polignac number, because 1005505000055 - 2¹² = 1005504995959 is a prime.

It is a super-2 number, since 2×1005505000055² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005504999988 and 1005505000033.

It is a congruent 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, 6443129 + ... + 6597341.

It is an arithmetic number, because the mean of its divisors is an integer number (75803891700).

Almost surely, 2^{1005505000055} is an apocalyptic number.

1005505000055 is a deficient number, since it is larger than the sum of its proper divisors (207357267145).

1005505000055 is a wasteful number, since it uses less digits than its factorization.

1005505000055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160970.

The product of its (nonzero) digits is 3125, while the sum is 26.

The spelling of 1005505000055 in words is "one trillion, five billion, five hundred five million, fifty-five", and thus it is an aban number.