12513600 has 252 divisors, whose sum is σ = 49133760. Its totient is φ = 2995200.

The previous prime is 12513593. The next prime is 12513607. The reversal of 12513600 is 631521.

12513600 is a `hidden beast` number, since 12 + 51 + 3 + 600 = 666.

12513600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12513593) and next prime (12513607).

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 (12513607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158361 + ... + 158439.

Almost surely, 2^12513600 is an apocalyptic number.

12513600 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 12513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24566880).

12513600 is an abundant number, since it is smaller than the sum of its proper divisors (36620160).

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

12513600 is a wasteful number, since it uses less digits than its factorization.

12513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 12513600 is about 3537.4567135161. The cubic root of 12513600 is about 232.1635786519.

It can be divided in two parts, 1251 and 3600, that added together give a triangular number (4851 = T₉₈).

The spelling of 12513600 in words is "twelve million, five hundred thirteen thousand, six hundred".