13509375 has 48 divisors (see below), whose sum is σ = 24748416. Its totient is φ = 6500000.

The previous prime is 13509367. The next prime is 13509401. The reversal of 13509375 is 57390531.

It is not a de Polignac number, because 13509375 - 2³ = 13509367 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103060 + ... + 103190.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 2^13509375 is an apocalyptic number.

13509375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13509375 is the 1965-th nonagonal number.

13509375 is a deficient number, since it is larger than the sum of its proper divisors (11239041).

13509375 is an equidigital number, since it uses as much as digits as its factorization.

13509375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 33.

The square root of 13509375 is about 3675.5101686705. The cubic root of 13509375 is about 238.1652631334.

The spelling of 13509375 in words is "thirteen million, five hundred nine thousand, three hundred seventy-five".