13508516 has 36 divisors (see below), whose sum is σ = 28186956. Its totient is φ = 5648160.

The previous prime is 13508507. The next prime is 13508527. The reversal of 13508516 is 61580531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2592100 + 10916416 = 1610^2 + 3304^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329456 + ... + 329496.

It is an arithmetic number, because the mean of its divisors is an integer number (782971).

Almost surely, 2^13508516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13508516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14093478).

13508516 is an abundant number, since it is smaller than the sum of its proper divisors (14678440).

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

13508516 is an frugal number, since it uses more digits than its factorization.

13508516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 13508516 is about 3675.3933122865. The cubic root of 13508516 is about 238.1602150761.

The spelling of 13508516 in words is "thirteen million, five hundred eight thousand, five hundred sixteen".