1017801409 has 9 divisors (see below), whose sum is σ = 1036742499. Its totient is φ = 999201960.

The previous prime is 1017801397. The next prime is 1017801427. The reversal of 1017801409 is 9041087101.

The square root of 1017801409 is 31903.

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

1017801409 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., 33097009 + 984704400 = 5753^2 + 31380^2 .

It is not a de Polignac number, because 1017801409 - 2⁵ = 1017801377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1017801479) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1945822 + ... + 1946344.

It is an arithmetic number, because the mean of its divisors is an integer number (115193611).

Almost surely, 2^1017801409 is an apocalyptic number.

1017801409 is the 31903-rd square number.

1017801409 is the 15952-nd centered octagonal number.

It is an amenable number.

1017801409 is a deficient number, since it is larger than the sum of its proper divisors (18941090).

1017801409 is an frugal number, since it uses more digits than its factorization.

1017801409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 31.

The cubic root of 1017801409 is about 1005.8989371182.

The spelling of 1017801409 in words is "one billion, seventeen million, eight hundred one thousand, four hundred nine".