13052520 has 96 divisors (see below), whose sum is σ = 45700200. Its totient is φ = 3211776.

The previous prime is 13052513. The next prime is 13052537. The reversal of 13052520 is 2525031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8964036 + 4088484 = 2994^2 + 2022^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13052493 and 13052502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3286 + ... + 6074.

Almost surely, 2^13052520 is an apocalyptic number.

13052520 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 13052520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22850100).

13052520 is an abundant number, since it is smaller than the sum of its proper divisors (32647680).

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

13052520 is a wasteful number, since it uses less digits than its factorization.

13052520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2812 counting only the distinct ones).

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

The square root of 13052520 is about 3612.8271478165. The cubic root of 13052520 is about 235.4496897140.

Adding to 13052520 its reverse (2525031), we get a palindrome (15577551).

It can be divided in two parts, 130 and 52520, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 13052520 in words is "thirteen million, fifty-two thousand, five hundred twenty".