2005117029 has 24 divisors (see below), whose sum is σ = 2917824000. Its totient is φ = 1326840480.

The previous prime is 2005117027. The next prime is 2005117073. The reversal of 2005117029 is 9207115002.

It is not a de Polignac number, because 2005117029 - 2¹ = 2005117027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2005116993 and 2005117011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005117027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 749364 + ... + 752034.

It is an arithmetic number, because the mean of its divisors is an integer number (121576000).

Almost surely, 2^2005117029 is an apocalyptic number.

It is an amenable number.

2005117029 is a deficient number, since it is larger than the sum of its proper divisors (912706971).

2005117029 is a wasteful number, since it uses less digits than its factorization.

2005117029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 2005117029 is about 44778.5331269348. The cubic root of 2005117029 is about 1260.9946435715.

The spelling of 2005117029 in words is "two billion, five million, one hundred seventeen thousand, twenty-nine".