13507305 has 32 divisors (see below), whose sum is σ = 24862464. Its totient is φ = 6134016.

The previous prime is 13507259. The next prime is 13507313. The reversal of 13507305 is 50370531.

It is not a de Polignac number, because 13507305 - 2¹³ = 13499113 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20359 + ... + 21011.

It is an arithmetic number, because the mean of its divisors is an integer number (776952).

Almost surely, 2^13507305 is an apocalyptic number.

13507305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13507305 is a deficient number, since it is larger than the sum of its proper divisors (11355159).

13507305 is a wasteful number, since it uses less digits than its factorization.

13507305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865.

The product of its (nonzero) digits is 1575, while the sum is 24.

The square root of 13507305 is about 3675.2285643209. The cubic root of 13507305 is about 238.1530980684.

Adding to 13507305 its reverse (50370531), we get a palindrome (63877836).

The spelling of 13507305 in words is "thirteen million, five hundred seven thousand, three hundred five".