1005500205171 has 36 divisors (see below), whose sum is σ = 1824488907696. Its totient is φ = 522337764960.

The previous prime is 1005500205169. The next prime is 1005500205173. The reversal of 1005500205171 is 1715020055001.

1005500205171 is a `hidden beast` number, since 100 + 5 + 500 + 2 + 0 + 51 + 7 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1005500205169) and next prime (1005500205173).

It is not a de Polignac number, because 1005500205171 - 2¹ = 1005500205169 is a prime.

It is a super-2 number, since 2×1005500205171² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005500205173) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65944116 + ... + 65959361.

It is an arithmetic number, because the mean of its divisors is an integer number (50680247436).

Almost surely, 2^{1005500205171} is an apocalyptic number.

1005500205171 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1005500205171 is a deficient number, since it is larger than the sum of its proper divisors (818988702525).

1005500205171 is a wasteful number, since it uses less digits than its factorization.

1005500205171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131903512 (or 131903498 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

The spelling of 1005500205171 in words is "one trillion, five billion, five hundred million, two hundred five thousand, one hundred seventy-one".