8189825007 has 32 divisors (see below), whose sum is σ = 13519313920. Its totient is φ = 4319883360.

The previous prime is 8189824969. The next prime is 8189825101. The reversal of 8189825007 is 7005289818.

8189825007 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8189825007 - 2¹¹ = 8189822959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8189825207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42619 + ... + 134892.

It is an arithmetic number, because the mean of its divisors is an integer number (422478560).

Almost surely, 2^8189825007 is an apocalyptic number.

8189825007 is a deficient number, since it is larger than the sum of its proper divisors (5329488913).

8189825007 is a wasteful number, since it uses less digits than its factorization.

8189825007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177560 (or 177534 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The square root of 8189825007 is about 90497.6519419150. The cubic root of 8189825007 is about 2015.6952578253.

The spelling of 8189825007 in words is "eight billion, one hundred eighty-nine million, eight hundred twenty-five thousand, seven".