8002003512829 has 4 divisors (see below), whose sum is σ = 8002124122176. Its totient is φ = 8001882903484.

The previous prime is 8002003512809. The next prime is 8002003512857. The reversal of 8002003512829 is 9282153002008.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8002003512829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8002003512791 and 8002003512800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8002003512809) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60205099 + ... + 60337864.

It is an arithmetic number, because the mean of its divisors is an integer number (2000531030544).

Almost surely, 2^{8002003512829} is an apocalyptic number.

It is an amenable number.

8002003512829 is a deficient number, since it is larger than the sum of its proper divisors (120609347).

8002003512829 is a wasteful number, since it uses less digits than its factorization.

8002003512829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120609346.

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 8002003512829 in words is "eight trillion, two billion, three million, five hundred twelve thousand, eight hundred twenty-nine".