10305732513 has 8 divisors (see below), whose sum is σ = 13742948800. Its totient is φ = 6869502288.

The previous prime is 10305732497. The next prime is 10305732529. The reversal of 10305732513 is 31523750301.

10305732513 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10305732497) and next prime (10305732529).

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

It is not a de Polignac number, because 10305732513 - 2⁴ = 10305732497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10305732533) 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, 221773 + ... + 264186.

It is an arithmetic number, because the mean of its divisors is an integer number (1717868600).

Almost surely, 2^10305732513 is an apocalyptic number.

It is an amenable number.

10305732513 is a deficient number, since it is larger than the sum of its proper divisors (3437216287).

10305732513 is an equidigital number, since it uses as much as digits as its factorization.

10305732513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493031.

The product of its (nonzero) digits is 9450, while the sum is 30.

The spelling of 10305732513 in words is "ten billion, three hundred five million, seven hundred thirty-two thousand, five hundred thirteen".