9975152187 has 192 divisors, whose sum is σ = 20946272256. Its totient is φ = 4572754560.

The previous prime is 9975152177. The next prime is 9975152221. The reversal of 9975152187 is 7812515799.

9975152187 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9975152187 - 2⁶ = 9975152123 is a prime.

It is a super-2 number, since 2×9975152187² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9975152107) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 5593698 + ... + 5595480.

It is an arithmetic number, because the mean of its divisors is an integer number (109095168).

Almost surely, 2^9975152187 is an apocalyptic number.

9975152187 is an abundant number, since it is smaller than the sum of its proper divisors (10971120069).

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

9975152187 is a wasteful number, since it uses less digits than its factorization.

9975152187 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1840 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 54.

The square root of 9975152187 is about 99875.6836622408. The cubic root of 9975152187 is about 2152.6487770030.

The spelling of 9975152187 in words is "nine billion, nine hundred seventy-five million, one hundred fifty-two thousand, one hundred eighty-seven".