993538000989 has 24 divisors (see below), whose sum is σ = 1445964394680. Its totient is φ = 657351687168.

The previous prime is 993538000981. The next prime is 993538001033. The reversal of 993538000989 is 989000835399.

993538000989 is a `hidden beast` number, since 9 + 9 + 3 + 538 + 0 + 0 + 0 + 98 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 456334025625 + 537203975364 = 675525^2 + 732942^2 .

It is not a de Polignac number, because 993538000989 - 2³ = 993538000981 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993538000981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4691539 + ... + 4898735.

It is an arithmetic number, because the mean of its divisors is an integer number (60248516445).

Almost surely, 2^993538000989 is an apocalyptic number.

993538000989 is the 532793-rd nonagonal number.

It is an amenable number.

993538000989 is a deficient number, since it is larger than the sum of its proper divisors (452426393691).

993538000989 is a wasteful number, since it uses less digits than its factorization.

993538000989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211229 (or 211226 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 993538000989 in words is "nine hundred ninety-three billion, five hundred thirty-eight million, nine hundred eighty-nine", and thus it is an aban number.