13053528 has 64 divisors (see below), whose sum is σ = 36556800. Its totient is φ = 4315680.

The previous prime is 13053527. The next prime is 13053577. The reversal of 13053528 is 82535031.

13053528 is a `hidden beast` number, since 1 + 305 + 352 + 8 = 666.

13053528 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13053527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48033 + ... + 48303.

It is an arithmetic number, because the mean of its divisors is an integer number (571200).

Almost surely, 2^13053528 is an apocalyptic number.

13053528 is a gapful number since it is divisible by the number (18) 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 13053528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18278400).

13053528 is an abundant number, since it is smaller than the sum of its proper divisors (23503272).

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

13053528 is a wasteful number, since it uses less digits than its factorization.

13053528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 499 counting only the distinct ones).

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

The square root of 13053528 is about 3612.9666480608. The cubic root of 13053528 is about 235.4557505405.

Adding to 13053528 its reverse (82535031), we get a palindrome (95588559).

The spelling of 13053528 in words is "thirteen million, fifty-three thousand, five hundred twenty-eight".