1000017000073 has 64 divisors (see below), whose sum is σ = 1256190906880. Its totient is φ = 775095754752.

The previous prime is 1000017000013. The next prime is 1000017000109. The reversal of 1000017000073 is 3700007100001.

It is a happy number.

1000017000073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1000017000073 - 2²⁵ = 999983445641 is a prime.

It is the 1000009-th Hogben number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000017000073.

It is not an unprimeable number, because it can be changed into a prime (1000017000013) by changing a digit.

It is a nontrivial repunit in base 1000008.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 487099315 + ... + 487101367.

It is an arithmetic number, because the mean of its divisors is an integer number (19627982920).

Almost surely, 2^{1000017000073} is an apocalyptic number.

1000017000073 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1000017000073 is a deficient number, since it is larger than the sum of its proper divisors (256173906807).

1000017000073 is a wasteful number, since it uses less digits than its factorization.

1000017000073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706.

The product of its (nonzero) digits is 147, while the sum is 19.

The spelling of 1000017000073 in words is "one trillion, seventeen million, seventy-three", and thus it is an aban number and an uban number.