13585013325 has 72 divisors (see below), whose sum is σ = 26231711688. Its totient is φ = 6680931840.

The previous prime is 13585013261. The next prime is 13585013333. The reversal of 13585013325 is 52331058531.

It can be written as a sum of positive squares in 12 ways, for example, as 9124643529 + 4460369796 = 95523^2 + 66786^2 .

It is not a de Polignac number, because 13585013325 - 2⁶ = 13585013261 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13585013325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3733407 + ... + 3737043.

It is an arithmetic number, because the mean of its divisors is an integer number (364329329).

Almost surely, 2^13585013325 is an apocalyptic number.

13585013325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13585013325 is a deficient number, since it is larger than the sum of its proper divisors (12646698363).

13585013325 is a wasteful number, since it uses less digits than its factorization.

13585013325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4943 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 13585013325 in words is "thirteen billion, five hundred eighty-five million, thirteen thousand, three hundred twenty-five".