13538538 has 48 divisors (see below), whose sum is σ = 32288256. Its totient is φ = 4073760.

The previous prime is 13538533. The next prime is 13538543. The reversal of 13538538 is 83583531.

It is an interprime number because it is at equal distance from previous prime (13538533) and next prime (13538543).

It is a super-2 number, since 2×13538538² = 366584022354888, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13538531) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10383 + ... + 11613.

It is an arithmetic number, because the mean of its divisors is an integer number (672672).

Almost surely, 2^13538538 is an apocalyptic number.

13538538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13538538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16144128).

13538538 is an abundant number, since it is smaller than the sum of its proper divisors (18749718).

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

13538538 is a wasteful number, since it uses less digits than its factorization.

13538538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1296 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 13538538 is about 3679.4752343235. The cubic root of 13538538 is about 238.3365175812.

The spelling of 13538538 in words is "thirteen million, five hundred thirty-eight thousand, five hundred thirty-eight".