13506075 has 96 divisors (see below), whose sum is σ = 28926720. Its totient is φ = 6105600.

The previous prime is 13506067. The next prime is 13506079. The reversal of 13506075 is 57060531.

13506075 = 773² + 774² + ... + 794².

13506075 is a `hidden beast` number, since 1 + 3 + 50 + 607 + 5 = 666.

13506075 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13506075 - 2³ = 13506067 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

13506075 is a modest number, since divided by 6075 gives 1350 as remainder.

It is not an unprimeable number, because it can be changed into a prime (13506079) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126172 + ... + 126278.

It is an arithmetic number, because the mean of its divisors is an integer number (301320).

Almost surely, 2^13506075 is an apocalyptic number.

13506075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13506075 is an abundant number, since it is smaller than the sum of its proper divisors (15420645).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13506075 is a wasteful number, since it uses less digits than its factorization.

13506075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 13506075 is about 3675.0612239798. The cubic root of 13506075 is about 238.1458689628.

The spelling of 13506075 in words is "thirteen million, five hundred six thousand, seventy-five".