1005217016617 has 16 divisors (see below), whose sum is σ = 1150671329280. Its totient is φ = 869218464400.

The previous prime is 1005217016593. The next prime is 1005217016621. The reversal of 1005217016617 is 7166107125001.

It is a happy number.

1005217016617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-1005217016617 is a prime.

It is a super-2 number, since 2×1005217016617² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005217016017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11053009 + ... + 11143582.

It is an arithmetic number, because the mean of its divisors is an integer number (71916958080).

Almost surely, 2^{1005217016617} is an apocalyptic number.

It is an amenable number.

1005217016617 is a deficient number, since it is larger than the sum of its proper divisors (145454312663).

1005217016617 is a wasteful number, since it uses less digits than its factorization.

1005217016617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22196804.

The product of its (nonzero) digits is 17640, while the sum is 37.

The spelling of 1005217016617 in words is "one trillion, five billion, two hundred seventeen million, sixteen thousand, six hundred seventeen".