8001813001 has 8 divisors (see below), whose sum is σ = 9848385344. Its totient is φ = 6331104720.

The previous prime is 8001812947. The next prime is 8001813041. The reversal of 8001813001 is 1003181008.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8001813001 - 2¹³ = 8001804809 is a prime.

It is a super-2 number, since 2×8001813001² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8001813041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43965915 + ... + 43966096.

It is an arithmetic number, because the mean of its divisors is an integer number (1231048168).

Almost surely, 2^8001813001 is an apocalyptic number.

It is an amenable number.

8001813001 is a deficient number, since it is larger than the sum of its proper divisors (1846572343).

8001813001 is a wasteful number, since it uses less digits than its factorization.

8001813001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87932031.

The product of its (nonzero) digits is 192, while the sum is 22.

The square root of 8001813001 is about 89452.8535095443. The cubic root of 8001813001 is about 2000.1510720050.

Adding to 8001813001 its reverse (1003181008), we get a palindrome (9004994009).

The spelling of 8001813001 in words is "eight billion, one million, eight hundred thirteen thousand, one".