13155305085 has 48 divisors (see below), whose sum is σ = 24620122800. Its totient is φ = 6459697152.

The previous prime is 13155305083. The next prime is 13155305087. The reversal of 13155305085 is 58050355131.

It is an interprime number because it is at equal distance from previous prime (13155305083) and next prime (13155305087).

It can be written as a sum of positive squares in 8 ways, for example, as 2264712921 + 10890592164 = 47589^2 + 104358^2 .

It is not a de Polignac number, because 13155305085 - 2¹ = 13155305083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13155305083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198661 + ... + 256469.

It is an arithmetic number, because the mean of its divisors is an integer number (512919225).

Almost surely, 2^13155305085 is an apocalyptic number.

13155305085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13155305085 is a deficient number, since it is larger than the sum of its proper divisors (11464817715).

13155305085 is a wasteful number, since it uses less digits than its factorization.

13155305085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58222 (or 58219 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 13155305085 in words is "thirteen billion, one hundred fifty-five million, three hundred five thousand, eighty-five".