985121952 has 48 divisors (see below), whose sum is σ = 2593084032. Its totient is φ = 327467520.

The previous prime is 985121881. The next prime is 985121957. The reversal of 985121952 is 259121589.

985121952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (985121957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21252 + ... + 49212.

It is an arithmetic number, because the mean of its divisors is an integer number (54022584).

Almost surely, 2^985121952 is an apocalyptic number.

It is an amenable number.

985121952 is an abundant number, since it is smaller than the sum of its proper divisors (1607962080).

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

985121952 is a wasteful number, since it uses less digits than its factorization.

985121952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28341 (or 28333 counting only the distinct ones).

The product of its digits is 64800, while the sum is 42.

The square root of 985121952 is about 31386.6524497277. The cubic root of 985121952 is about 995.0158501890.

The spelling of 985121952 in words is "nine hundred eighty-five million, one hundred twenty-one thousand, nine hundred fifty-two".