13001875 has 20 divisors (see below), whose sum is σ = 16532208. Its totient is φ = 10220000.

The previous prime is 13001861. The next prime is 13001897. The reversal of 13001875 is 57810031.

It is not a de Polignac number, because 13001875 - 2⁵ = 13001843 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 44229 + ... + 44521.

Almost surely, 2^13001875 is an apocalyptic number.

13001875 is a deficient number, since it is larger than the sum of its proper divisors (3530333).

13001875 is an frugal number, since it uses more digits than its factorization.

13001875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 13001875 is about 3605.8112818061. The cubic root of 13001875 is about 235.1447727223.

The spelling of 13001875 in words is "thirteen million, one thousand, eight hundred seventy-five".