13485204577 has 16 divisors (see below), whose sum is σ = 14716790928. Its totient is φ = 12282220800.

The previous prime is 13485204563. The next prime is 13485204599. The reversal of 13485204577 is 77540258431.

13485204577 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 8 ways, for example, as 480311056 + 13004893521 = 21916^2 + 114039^2 .

It is a cyclic number.

It is not a de Polignac number, because 13485204577 - 2¹¹ = 13485202529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13485204527) 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 15 ways as a sum of consecutive naturals, for example, 367183 + ... + 402235.

It is an arithmetic number, because the mean of its divisors is an integer number (919799433).

Almost surely, 2^13485204577 is an apocalyptic number.

It is an amenable number.

13485204577 is a deficient number, since it is larger than the sum of its proper divisors (1231586351).

13485204577 is a wasteful number, since it uses less digits than its factorization.

13485204577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35460.

The product of its (nonzero) digits is 940800, while the sum is 46.

The spelling of 13485204577 in words is "thirteen billion, four hundred eighty-five million, two hundred four thousand, five hundred seventy-seven".