12530563600 has 135 divisors (see below), whose sum is σ = 31340951733. Its totient is φ = 4814315520.

The previous prime is 12530563483. The next prime is 12530563601. The reversal of 12530563600 is 636503521.

The square root of 12530563600 is 111940.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 10656019984 + 1874543616 = 103228^2 + 43296^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12530563601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64925104 + ... + 64925296.

Almost surely, 2^12530563600 is an apocalyptic number.

12530563600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12530563600 is the 111940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12530563600

12530563600 is an abundant number, since it is smaller than the sum of its proper divisors (18810388133).

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

12530563600 is an equidigital number, since it uses as much as digits as its factorization.

12530563600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The spelling of 12530563600 in words is "twelve billion, five hundred thirty million, five hundred sixty-three thousand, six hundred".