289511791969 has 9 divisors (see below), whose sum is σ = 291387106899. Its totient is φ = 287648479800.

The previous prime is 289511791951. The next prime is 289511792029. The reversal of 289511791969 is 969197115982.

The square root of 289511791969 is 538063.

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

It can be written as a sum of positive squares in only one way, i.e., 59859983569 + 229651808400 = 244663^2 + 479220^2 .

It is not a de Polignac number, because 289511791969 - 2¹³ = 289511783777 is a prime.

It is a super-2 number, since 2×289511791969² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (289511791909) 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, 87702619 + ... + 87705919.

It is an arithmetic number, because the mean of its divisors is an integer number (32376345211).

Almost surely, 2^289511791969 is an apocalyptic number.

289511791969 is the 538063-rd square number.

289511791969 is the 269032-nd centered octagonal number.

It is an amenable number.

289511791969 is a deficient number, since it is larger than the sum of its proper divisors (1875314930).

289511791969 is an frugal number, since it uses more digits than its factorization.

289511791969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6928 (or 3464 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 67.

The spelling of 289511791969 in words is "two hundred eighty-nine billion, five hundred eleven million, seven hundred ninety-one thousand, nine hundred sixty-nine".