1017128906789 has 8 divisors (see below), whose sum is σ = 1041000153600. Its totient is φ = 993267527616.

The previous prime is 1017128906777. The next prime is 1017128906867. The reversal of 1017128906789 is 9876098217101.

1017128906789 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 1017128906789 - 2²⁰ = 1017127858213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1017128906749) 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, 2258132 + ... + 2670845.

It is an arithmetic number, because the mean of its divisors is an integer number (130125019200).

Almost surely, 2^{1017128906789} is an apocalyptic number.

It is an amenable number.

1017128906789 is a deficient number, since it is larger than the sum of its proper divisors (23871246811).

1017128906789 is an equidigital number, since it uses as much as digits as its factorization.

1017128906789 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4933819.

The product of its (nonzero) digits is 3048192, while the sum is 59.

The spelling of 1017128906789 in words is "one trillion, seventeen billion, one hundred twenty-eight million, nine hundred six thousand, seven hundred eighty-nine".