8013082729 has 8 divisors (see below), whose sum is σ = 8051097600. Its totient is φ = 7975099296.

The previous prime is 8013082697. The next prime is 8013082757. The reversal of 8013082729 is 9272803108.

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 8013082729 - 2⁵ = 8013082697 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8013082691 and 8013082700.

It is not an unprimeable number, because it can be changed into a prime (8013088729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619672 + ... + 632470.

It is an arithmetic number, because the mean of its divisors is an integer number (1006387200).

Almost surely, 2^8013082729 is an apocalyptic number.

It is an amenable number.

8013082729 is a deficient number, since it is larger than the sum of its proper divisors (38014871).

8013082729 is a wasteful number, since it uses less digits than its factorization.

8013082729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15719.

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 8013082729 is about 89515.8239028162. The cubic root of 8013082729 is about 2001.0896336581.

The spelling of 8013082729 in words is "eight billion, thirteen million, eighty-two thousand, seven hundred twenty-nine".