12510 has 24 divisors (see below), whose sum is σ = 32760. Its totient is φ = 3312.

The previous prime is 12503. The next prime is 12511. The reversal of 12510 is 1521.

12510 = 48² + 49² + ... + 52².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 12492 and 12501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21 + ... + 159.

It is an arithmetic number, because the mean of its divisors is an integer number (1365).

2¹²⁵¹⁰ is an apocalyptic number.

12510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380).

12510 is an abundant number, since it is smaller than the sum of its proper divisors (20250).

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

12510 is a wasteful number, since it uses less digits than its factorization.

12510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 12510 is about 111.8481112938. The cubic root of 12510 is about 23.2141313036.

The spelling of 12510 in words is "twelve thousand, five hundred ten".