12638025 has 45 divisors (see below), whose sum is σ = 23710071. Its totient is φ = 6654960.

The previous prime is 12638023. The next prime is 12638027. The reversal of 12638025 is 52083621.

The square root of 12638025 is 3555.

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

12638025 is a `hidden beast` number, since 1 + 2 + 638 + 0 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (12638023) and next prime (12638027).

It can be written as a sum of positive squares in only one way, i.e., 4549689 + 8088336 = 2133^2 + 2844^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 12638025 - 2¹ = 12638023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 12638025.

It is not an unprimeable number, because it can be changed into a prime (12638023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 159936 + ... + 160014.

Almost surely, 2^12638025 is an apocalyptic number.

12638025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12638025 is the 3555-th square number.

12638025 is the 1778-th centered octagonal number.

It is an amenable number.

12638025 is a deficient number, since it is larger than the sum of its proper divisors (11072046).

12638025 is an frugal number, since it uses more digits than its factorization.

12638025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 12638025 is about 232.9305238404.

The spelling of 12638025 in words is "twelve million, six hundred thirty-eight thousand, twenty-five".