8005535001 has 6 divisors (see below), whose sum is σ = 11563550570. Its totient is φ = 5337023328.

The previous prime is 8005534949. The next prime is 8005535009. The reversal of 8005535001 is 1005355008.

It can be written as a sum of positive squares in only one way, i.e., 7402881600 + 602653401 = 86040^2 + 24549^2 .

It is not a de Polignac number, because 8005535001 - 2¹⁵ = 8005502233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8005535009) 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 5 ways as a sum of consecutive naturals, for example, 444751936 + ... + 444751953.

Almost surely, 2^8005535001 is an apocalyptic number.

It is an amenable number.

8005535001 is a deficient number, since it is larger than the sum of its proper divisors (3558015569).

8005535001 is a wasteful number, since it uses less digits than its factorization.

8005535001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889503895 (or 889503892 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 8005535001 is about 89473.6553461409. The cubic root of 8005535001 is about 2000.4611437484.

The spelling of 8005535001 in words is "eight billion, five million, five hundred thirty-five thousand, one".