12532520 has 128 divisors (see below), whose sum is σ = 37981440. Its totient is φ = 3594240.

The previous prime is 12532517. The next prime is 12532537. The reversal of 12532520 is 2523521.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12532492 and 12532501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39884 + ... + 40196.

It is an arithmetic number, because the mean of its divisors is an integer number (296730).

Almost surely, 2^12532520 is an apocalyptic number.

12532520 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 12532520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18990720).

12532520 is an abundant number, since it is smaller than the sum of its proper divisors (25448920).

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

12532520 is a wasteful number, since it uses less digits than its factorization.

12532520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 12532520 is about 3540.1299411180. The cubic root of 12532520 is about 232.2805266922.

12532520 divided by its sum of digits (20) gives a palindrome (626626).

It can be divided in two parts, 1253 and 2520, that added together give a palindrome (3773).

The spelling of 12532520 in words is "twelve million, five hundred thirty-two thousand, five hundred twenty".