13506305745 has 32 divisors (see below), whose sum is σ = 21730748544. Its totient is φ = 7163251200.

The previous prime is 13506305737. The next prime is 13506305753. The reversal of 13506305745 is 54750360531.

13506305745 is digitally balanced in base 2, 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 (13506305737) and next prime (13506305753).

It is not a de Polignac number, because 13506305745 - 2³ = 13506305737 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2277354 + ... + 2283276.

It is an arithmetic number, because the mean of its divisors is an integer number (679085892).

Almost surely, 2^13506305745 is an apocalyptic number.

13506305745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13506305745 is a deficient number, since it is larger than the sum of its proper divisors (8224442799).

13506305745 is a wasteful number, since it uses less digits than its factorization.

13506305745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753.

The product of its (nonzero) digits is 189000, while the sum is 39.

The spelling of 13506305745 in words is "thirteen billion, five hundred six million, three hundred five thousand, seven hundred forty-five".