2005153465417 has 8 divisors (see below), whose sum is σ = 2012809369032. Its totient is φ = 1997501251200.

The previous prime is 2005153465387. The next prime is 2005153465457. The reversal of 2005153465417 is 7145643515002.

It can be written as a sum of positive squares in 4 ways, for example, as 800803055376 + 1204350410041 = 894876^2 + 1097429^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2005153465417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005153465457) 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, 169167 + ... + 2009707.

It is an arithmetic number, because the mean of its divisors is an integer number (251601171129).

Almost surely, 2^{2005153465417} is an apocalyptic number.

It is an amenable number.

2005153465417 is a deficient number, since it is larger than the sum of its proper divisors (7655903615).

2005153465417 is a wasteful number, since it uses less digits than its factorization.

2005153465417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844699.

The product of its (nonzero) digits is 504000, while the sum is 43.

The spelling of 2005153465417 in words is "two trillion, five billion, one hundred fifty-three million, four hundred sixty-five thousand, four hundred seventeen".