982004753952 has 72 divisors (see below), whose sum is σ = 2845266176844. Its totient is φ = 321158782464.

The previous prime is 982004753921. The next prime is 982004753953. The reversal of 982004753952 is 259357400289.

982004753952 is a `hidden beast` number, since 9 + 8 + 200 + 47 + 5 + 395 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 971162946576 + 10841807376 = 985476^2 + 104124^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (982004753953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32152083 + ... + 32182610.

Almost surely, 2^982004753952 is an apocalyptic number.

It is an amenable number.

982004753952 is an abundant number, since it is smaller than the sum of its proper divisors (1863261422892).

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

982004753952 is a wasteful number, since it uses less digits than its factorization.

982004753952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64334762 (or 64334751 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 982004753952 in words is "nine hundred eighty-two billion, four million, seven hundred fifty-three thousand, nine hundred fifty-two".