13052000 has 96 divisors (see below), whose sum is σ = 34673184. Its totient is φ = 4800000.

The previous prime is 13051991. The next prime is 13052003. The reversal of 13052000 is 25031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13052003) 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, 51875 + ... + 52125.

It is an arithmetic number, because the mean of its divisors is an integer number (361179).

Almost surely, 2^13052000 is an apocalyptic number.

13052000 is a gapful number since it is divisible by the number (10) 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 13052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336592).

13052000 is an abundant number, since it is smaller than the sum of its proper divisors (21621184).

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

13052000 is a wasteful number, since it uses less digits than its factorization.

13052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 13052000 is about 3612.7551812986. The cubic root of 13052000 is about 235.4465629752.

Adding to 13052000 its reverse (25031), we get a palindrome (13077031).

It can be divided in two parts, 130 and 52000, that multiplied together give a square (6760000 = 2600²).

The spelling of 13052000 in words is "thirteen million, fifty-two thousand".