12513616 has 40 divisors (see below), whose sum is σ = 25389000. Its totient is φ = 5967360.

The previous prime is 12513607. The next prime is 12513617. The reversal of 12513616 is 61631521.

It can be written as a sum of positive squares in 4 ways, for example, as 291600 + 12222016 = 540^2 + 3496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12513617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69046 + ... + 69226.

It is an arithmetic number, because the mean of its divisors is an integer number (634725).

Almost surely, 2^12513616 is an apocalyptic number.

12513616 is a gapful number since it is divisible by the number (16) 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 12513616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12694500).

12513616 is an abundant number, since it is smaller than the sum of its proper divisors (12875384).

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

12513616 is a wasteful number, since it uses less digits than its factorization.

12513616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The square root of 12513616 is about 3537.4589750271. The cubic root of 12513616 is about 232.1636776006.

The spelling of 12513616 in words is "twelve million, five hundred thirteen thousand, six hundred sixteen".