12538825 has 24 divisors (see below), whose sum is σ = 17170776. Its totient is φ = 9024000.

The previous prime is 12538811. The next prime is 12538829. The reversal of 12538825 is 52883521.

12538825 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 8311689 + 4227136 = 2883^2 + 2056^2 .

It is not a de Polignac number, because 12538825 - 2¹⁵ = 12506057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12538829) 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, 12855 + ... + 13795.

It is an arithmetic number, because the mean of its divisors is an integer number (715449).

Almost surely, 2^12538825 is an apocalyptic number.

It is an amenable number.

12538825 is a deficient number, since it is larger than the sum of its proper divisors (4631951).

12538825 is a wasteful number, since it uses less digits than its factorization.

12538825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 1000 counting only the distinct ones).

The product of its digits is 19200, while the sum is 34.

The square root of 12538825 is about 3541.0203331808. The cubic root of 12538825 is about 232.3194729215.

The spelling of 12538825 in words is "twelve million, five hundred thirty-eight thousand, eight hundred twenty-five".