13785810273 has 24 divisors (see below), whose sum is σ = 20117551272. Its totient is φ = 9096288768.

The previous prime is 13785810239. The next prime is 13785810287. The reversal of 13785810273 is 37201858731.

13785810273 is a `hidden beast` number, since 1 + 378 + 5 + 8 + 1 + 0 + 273 = 666.

13785810273 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1510721424 + 12275088849 = 38868^2 + 110793^2 .

It is not a de Polignac number, because 13785810273 - 2⁶ = 13785810209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13785810293) 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 23 ways as a sum of consecutive naturals, for example, 736215 + ... + 754707.

It is an arithmetic number, because the mean of its divisors is an integer number (838231303).

Almost surely, 2^13785810273 is an apocalyptic number.

It is an amenable number.

13785810273 is a deficient number, since it is larger than the sum of its proper divisors (6331740999).

13785810273 is a wasteful number, since it uses less digits than its factorization.

13785810273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19345 (or 19342 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 13785810273 in words is "thirteen billion, seven hundred eighty-five million, eight hundred ten thousand, two hundred seventy-three".