10829573507 has 8 divisors (see below), whose sum is σ = 11402462400. Its totient is φ = 10256975784.

The previous prime is 10829573477. The next prime is 10829573561. The reversal of 10829573507 is 70537592801.

10829573507 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10829573507 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10829573407) 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 7 ways as a sum of consecutive naturals, for example, 5744 + ... + 147282.

It is an arithmetic number, because the mean of its divisors is an integer number (1425307800).

Almost surely, 2^10829573507 is an apocalyptic number.

10829573507 is a deficient number, since it is larger than the sum of its proper divisors (572888893).

10829573507 is a wasteful number, since it uses less digits than its factorization.

10829573507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145585.

The product of its (nonzero) digits is 529200, while the sum is 47.

The spelling of 10829573507 in words is "ten billion, eight hundred twenty-nine million, five hundred seventy-three thousand, five hundred seven".