965241406089 has 45 divisors (see below), whose sum is σ = 1452588747159. Its totient is φ = 638760744720.

The previous prime is 965241406043. The next prime is 965241406099. The reversal of 965241406089 is 980604142569.

The square root of 965241406089 is 982467.

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

965241406089 is a `hidden beast` number, since 9 + 6 + 5 + 24 + 1 + 4 + 0 + 608 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 878034591225 + 87206814864 = 937035^2 + 295308^2 .

It is not a de Polignac number, because 965241406089 - 2³⁵ = 930881667721 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (965241406099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1529700804 + ... + 1529701434.

Almost surely, 2^965241406089 is an apocalyptic number.

965241406089 is the 982467-th square number.

965241406089 is the 491234-th centered octagonal number.

It is an amenable number.

965241406089 is a deficient number, since it is larger than the sum of its proper divisors (487347341070).

965241406089 is an frugal number, since it uses more digits than its factorization.

965241406089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 965241406089 in words is "nine hundred sixty-five billion, two hundred forty-one million, four hundred six thousand, eighty-nine".