13500567085 has 48 divisors (see below), whose sum is σ = 17575995600. Its totient is φ = 9951248384.

The previous prime is 13500567023. The next prime is 13500567109. The reversal of 13500567085 is 58076500531.

It can be written as a sum of positive squares in 24 ways, for example, as 12994632036 + 505935049 = 113994^2 + 22493^2 .

It is not a de Polignac number, because 13500567085 - 2¹¹ = 13500565037 is a prime.

It is a super-4 number, since 4×13500567085⁴ (a number of 42 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14531901 + ... + 14532829.

It is an arithmetic number, because the mean of its divisors is an integer number (366166575).

Almost surely, 2^13500567085 is an apocalyptic number.

It is an amenable number.

13500567085 is a deficient number, since it is larger than the sum of its proper divisors (4075428515).

13500567085 is a wasteful number, since it uses less digits than its factorization.

13500567085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 13500567085 in words is "thirteen billion, five hundred million, five hundred sixty-seven thousand, eighty-five".