9971901504 has 84 divisors (see below), whose sum is σ = 28603040076. Its totient is φ = 3321596928.

The previous prime is 9971901503. The next prime is 9971901509. The reversal of 9971901504 is 4051091799.

It can be written as a sum of positive squares in 2 ways, for example, as 3175547904 + 6796353600 = 56352^2 + 82440^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9971901504.

It is not an unprimeable number, because it can be changed into a prime (9971901503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 923722 + ... + 934454.

Almost surely, 2^9971901504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9971901504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14301520038).

9971901504 is an abundant number, since it is smaller than the sum of its proper divisors (18631138572).

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

9971901504 is a wasteful number, since it uses less digits than its factorization.

9971901504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12364 (or 12351 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 9971901504 is about 99859.4086904184. The cubic root of 9971901504 is about 2152.4149179464.

The spelling of 9971901504 in words is "nine billion, nine hundred seventy-one million, nine hundred one thousand, five hundred four".