8046513729 has 96 divisors (see below), whose sum is σ = 13632998400. Its totient is φ = 4669125120.

The previous prime is 8046513703. The next prime is 8046513731. The reversal of 8046513729 is 9273156408.

8046513729 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8046513729 - 2²⁷ = 7912296001 is a prime.

8046513729 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8046513799) 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 95 ways as a sum of consecutive naturals, for example, 7526607 + ... + 7527675.

It is an arithmetic number, because the mean of its divisors is an integer number (142010400).

It is a 2-persistent number, because it is pandigital, and so is 2⋅8046513729 = 16093027458, but 3⋅8046513729 = 24139541187 is not.

Almost surely, 2^8046513729 is an apocalyptic number.

It is an amenable number.

8046513729 is a deficient number, since it is larger than the sum of its proper divisors (5586484671).

8046513729 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (8046513728) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1172).

8046513729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8046513729 is about 89702.3618919814. The cubic root of 8046513729 is about 2003.8686560087.

The spelling of 8046513729 in words is "eight billion, forty-six million, five hundred thirteen thousand, seven hundred twenty-nine".