13500375 has 64 divisors (see below), whose sum is σ = 26557440. Its totient is φ = 5961600.

The previous prime is 13500373. The next prime is 13500419. The reversal of 13500375 is 57300531.

It is not a de Polignac number, because 13500375 - 2¹ = 13500373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13500373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97056 + ... + 97194.

It is an arithmetic number, because the mean of its divisors is an integer number (414960).

Almost surely, 2^13500375 is an apocalyptic number.

13500375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13500375 is a deficient number, since it is larger than the sum of its proper divisors (13057065).

13500375 is a wasteful number, since it uses less digits than its factorization.

13500375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

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

The square root of 13500375 is about 3674.2856448567. The cubic root of 13500375 is about 238.1123624985.

It can be divided in two parts, 13500 and 375, that multiplied together give a square (5062500 = 2250²).

The spelling of 13500375 in words is "thirteen million, five hundred thousand, three hundred seventy-five".