13532475 has 48 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 6403200.

The previous prime is 13532447. The next prime is 13532479. The reversal of 13532475 is 57423531.

It is not a de Polignac number, because 13532475 - 2⁷ = 13532347 is a prime.

Its product of digits (12600) is a multiple of the sum of its prime factors (420).

It is not an unprimeable number, because it can be changed into a prime (13532479) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38601 + ... + 38949.

It is an arithmetic number, because the mean of its divisors is an integer number (520800).

Almost surely, 2^13532475 is an apocalyptic number.

13532475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13532475 is a deficient number, since it is larger than the sum of its proper divisors (11465925).

13532475 is a wasteful number, since it uses less digits than its factorization.

13532475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 415 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 13532475 is about 3678.6512474003. The cubic root of 13532475 is about 238.3009339736.

It can be divided in two parts, 1353 and 2475, that added together give a triangular number (3828 = T₈₇).

The spelling of 13532475 in words is "thirteen million, five hundred thirty-two thousand, four hundred seventy-five".