8001813825 has 84 divisors (see below), whose sum is σ = 14930205120. Its totient is φ = 4252266720.

The previous prime is 8001813821. The next prime is 8001813847. The reversal of 8001813825 is 5283181008.

It is not a de Polignac number, because 8001813825 - 2² = 8001813821 is a prime.

It is a super-2 number, since 2×8001813825² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8001813825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8001813821) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6542164 + ... + 6543386.

Almost surely, 2^8001813825 is an apocalyptic number.

It is an amenable number.

8001813825 is a deficient number, since it is larger than the sum of its proper divisors (6928391295).

8001813825 is a wasteful number, since it uses less digits than its factorization.

8001813825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 8001813825 is about 89452.8581153224. The cubic root of 8001813825 is about 2000.1511406613.

The spelling of 8001813825 in words is "eight billion, one million, eight hundred thirteen thousand, eight hundred twenty-five".