13535041 has 9 divisors (see below), whose sum is σ = 14708259. Its totient is φ = 12449736.

The previous prime is 13535033. The next prime is 13535057. The reversal of 13535041 is 14053531.

It is a happy number.

The square root of 13535041 is 3679.

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

It can be written as a sum of positive squares in only one way, i.e., 2002225 + 11532816 = 1415^2 + 3396^2 .

It is not a de Polignac number, because 13535041 - 2³ = 13535033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13535021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47686 + ... + 47968.

It is an arithmetic number, because the mean of its divisors is an integer number (1634251).

Almost surely, 2^13535041 is an apocalyptic number.

13535041 is the 3679-th square number.

13535041 is the 1840-th centered octagonal number.

It is an amenable number.

13535041 is a deficient number, since it is larger than the sum of its proper divisors (1173218).

13535041 is an frugal number, since it uses more digits than its factorization.

13535041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The cubic root of 13535041 is about 238.3159950656.

Multiplying 13535041 by its product of nonzero digits (900), we get a square (12181536900 = 110370²).

Adding to 13535041 its reverse (14053531), we get a palindrome (27588572).

The spelling of 13535041 in words is "thirteen million, five hundred thirty-five thousand, forty-one".