1017138812089 has 27 divisors (see below), whose sum is σ = 1068817611823. Its totient is φ = 967917359024.

The previous prime is 1017138812077. The next prime is 1017138812117. The reversal of 1017138812089 is 9802188317101.

The square root of 1017138812089 is 1008533.

It is a perfect power (a square), and thus also a powerful number.

1017138812089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 533362920489 + 483775891600 = 730317^2 + 695540^2 .

It is not a de Polignac number, because 1017138812089 - 2⁵ = 1017138812057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1017138812189) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2427538722 + ... + 2427539140.

Almost surely, 2^{1017138812089} is an apocalyptic number.

1017138812089 is the 1008533-rd square number.

1017138812089 is the 504267-th centered octagonal number.

It is an amenable number.

1017138812089 is a deficient number, since it is larger than the sum of its proper divisors (51678799734).

1017138812089 is an frugal number, since it uses more digits than its factorization.

1017138812089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 49.

Multiplying 1017138812089 by its sum of digits (49), we get a square (49839801792361 = 7059731²).

The spelling of 1017138812089 in words is "one trillion, seventeen billion, one hundred thirty-eight million, eight hundred twelve thousand, eighty-nine".