13586000481 has 27 divisors (see below), whose sum is σ = 20392136401. Its totient is φ = 9051039468.

The previous prime is 13586000447. The next prime is 13586000507. The reversal of 13586000481 is 18400068531.

The square root of 13586000481 is 116559.

It is a perfect power (a square), and thus also a powerful number.

13586000481 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 600 + 0 + 48 + 1 = 666.

13586000481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 13586000481 - 2⁹ = 13585999969 is a prime.

It is a super-2 number, since 2×13586000481² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13586007481) 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 26 ways as a sum of consecutive naturals, for example, 9440560 + ... + 9441998.

Almost surely, 2^13586000481 is an apocalyptic number.

13586000481 is the 116559-th square number.

13586000481 is the 58280-th centered octagonal number.

It is an amenable number.

13586000481 is a deficient number, since it is larger than the sum of its proper divisors (6806135920).

13586000481 is an frugal number, since it uses more digits than its factorization.

13586000481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 13586000481 by its sum of digits (36), we get a square (489096017316 = 699354²).

The spelling of 13586000481 in words is "thirteen billion, five hundred eighty-six million, four hundred eighty-one", and thus it is an aban number.