13013505 has 12 divisors (see below), whose sum is σ = 22556820. Its totient is φ = 6940512.

The previous prime is 13013467. The next prime is 13013509. The reversal of 13013505 is 50531031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2143296 + 10870209 = 1464^2 + 3297^2 .

It is not a de Polignac number, because 13013505 - 2¹⁶ = 12947969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13013509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144550 + ... + 144639.

It is an arithmetic number, because the mean of its divisors is an integer number (1879735).

Almost surely, 2^13013505 is an apocalyptic number.

13013505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13013505 is a deficient number, since it is larger than the sum of its proper divisors (9543315).

13013505 is a wasteful number, since it uses less digits than its factorization.

13013505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289200 (or 289197 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 13013505 is about 3607.4235958645. The cubic root of 13013505 is about 235.2148630931.

Adding to 13013505 its reverse (50531031), we get a palindrome (63544536).

The spelling of 13013505 in words is "thirteen million, thirteen thousand, five hundred five".