13580541 has 28 divisors (see below), whose sum is σ = 21943068. Its totient is φ = 8351424.

The previous prime is 13580537. The next prime is 13580563. The reversal of 13580541 is 14508531.

It can be written as a sum of positive squares in 2 ways, for example, as 6579225 + 7001316 = 2565^2 + 2646^2 .

It is not a de Polignac number, because 13580541 - 2² = 13580537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13580521) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8761 + ... + 10193.

It is an arithmetic number, because the mean of its divisors is an integer number (783681).

Almost surely, 2^13580541 is an apocalyptic number.

It is an amenable number.

13580541 is a deficient number, since it is larger than the sum of its proper divisors (8362527).

13580541 is an equidigital number, since it uses as much as digits as its factorization.

13580541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 13580541 is about 3685.1785574108. The cubic root of 13580541 is about 238.5827409609.

The spelling of 13580541 in words is "thirteen million, five hundred eighty thousand, five hundred forty-one".