13538052 has 72 divisors (see below), whose sum is σ = 39547872. Its totient is φ = 3859200.

The previous prime is 13538039. The next prime is 13538071. The reversal of 13538052 is 25083531.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5727 + ... + 7737.

It is an arithmetic number, because the mean of its divisors is an integer number (549276).

Almost surely, 2^13538052 is an apocalyptic number.

13538052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13538052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19773936).

13538052 is an abundant number, since it is smaller than the sum of its proper divisors (26009820).

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

13538052 is a wasteful number, since it uses less digits than its factorization.

13538052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 13538052 is about 3679.4091917046. The cubic root of 13538052 is about 238.3336656501. Note that the first 3 decimals are identical.

The spelling of 13538052 in words is "thirteen million, five hundred thirty-eight thousand, fifty-two".