13002552 has 64 divisors (see below), whose sum is σ = 38253600. Its totient is φ = 4078080.

The previous prime is 13002551. The next prime is 13002581. The reversal of 13002552 is 25520031.

It is a happy number.

13002552 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 (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002551) 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, 1902 + ... + 5442.

Almost surely, 2^13002552 is an apocalyptic number.

13002552 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 13002552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19126800).

13002552 is an abundant number, since it is smaller than the sum of its proper divisors (25251048).

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

13002552 is a wasteful number, since it uses less digits than its factorization.

13002552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 13002552 is about 3605.9051568226. The cubic root of 13002552 is about 235.1488539349.

Adding to 13002552 its reverse (25520031), we get a palindrome (38522583).

The spelling of 13002552 in words is "thirteen million, two thousand, five hundred fifty-two".