8001617125 has 32 divisors (see below), whose sum is σ = 10078338816. Its totient is φ = 6342395200.

The previous prime is 8001617081. The next prime is 8001617159. The reversal of 8001617125 is 5217161008.

It is not a de Polignac number, because 8001617125 - 2⁹ = 8001616613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12253299 + ... + 12253951.

It is an arithmetic number, because the mean of its divisors is an integer number (314948088).

Almost surely, 2^8001617125 is an apocalyptic number.

It is an amenable number.

8001617125 is a deficient number, since it is larger than the sum of its proper divisors (2076721691).

8001617125 is a wasteful number, since it uses less digits than its factorization.

8001617125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 31.

The square root of 8001617125 is about 89451.7586467700. The cubic root of 8001617125 is about 2000.1347513375.

The spelling of 8001617125 in words is "eight billion, one million, six hundred seventeen thousand, one hundred twenty-five".