13530585361 has 8 divisors (see below), whose sum is σ = 14154431400. Its totient is φ = 12917224320.

The previous prime is 13530585359. The next prime is 13530585443. The reversal of 13530585361 is 16358503531.

It can be written as a sum of positive squares in 4 ways, for example, as 305585361 + 13225000000 = 17481^2 + 115000^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13530585361 - 2¹ = 13530585359 is a prime.

It is a super-2 number, since 2×13530585361² (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 (13530585331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2618610 + ... + 2623771.

It is an arithmetic number, because the mean of its divisors is an integer number (1769303925).

Almost surely, 2^13530585361 is an apocalyptic number.

It is an amenable number.

13530585361 is a deficient number, since it is larger than the sum of its proper divisors (623846039).

13530585361 is an equidigital number, since it uses as much as digits as its factorization.

13530585361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242499.

The product of its (nonzero) digits is 162000, while the sum is 40.

The spelling of 13530585361 in words is "thirteen billion, five hundred thirty million, five hundred eighty-five thousand, three hundred sixty-one".