12513510 has 48 divisors (see below), whose sum is σ = 32773104. Its totient is φ = 3312576.

The previous prime is 12513503. The next prime is 12513517. The reversal of 12513510 is 1531521.

It is an interprime number because it is at equal distance from previous prime (12513503) and next prime (12513517).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12513517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14244 + ... + 15096.

It is an arithmetic number, because the mean of its divisors is an integer number (682773).

Almost surely, 2^12513510 is an apocalyptic number.

12513510 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 12513510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16386552).

12513510 is an abundant number, since it is smaller than the sum of its proper divisors (20259594).

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

12513510 is a wasteful number, since it uses less digits than its factorization.

12513510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 12513510 is about 3537.4439924895. The cubic root of 12513510 is about 232.1630220635.

It can be divided in two parts, 1251 and 3510, that added together give a square (4761 = 69²).

The spelling of 12513510 in words is "twelve million, five hundred thirteen thousand, five hundred ten".