289131252984 has 144 divisors (see below), whose sum is σ = 916501196520. Its totient is φ = 82101962880.

The previous prime is 289131252979. The next prime is 289131253007. The reversal of 289131252984 is 489252131982.

289131252984 is a `hidden beast` number, since 2 + 8 + 9 + 1 + 31 + 2 + 529 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 289131252984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 323674 + ... + 826454.

Almost surely, 2^289131252984 is an apocalyptic number.

289131252984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289131252984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458250598260).

289131252984 is an abundant number, since it is smaller than the sum of its proper divisors (627369943536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

289131252984 is a wasteful number, since it uses less digits than its factorization.

289131252984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502970 (or 502956 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

It can be divided in two parts, 2891 and 31252984, that added together give a cube (31255875 = 315³).

The spelling of 289131252984 in words is "two hundred eighty-nine billion, one hundred thirty-one million, two hundred fifty-two thousand, nine hundred eighty-four".