12825810 has 64 divisors (see below), whose sum is σ = 34761600. Its totient is φ = 3364416.

The previous prime is 12825809. The next prime is 12825811. The reversal of 12825810 is 1852821.

12825810 is a `hidden beast` number, since 1 + 2 + 82 + 581 + 0 = 666.

12825810 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 (12825809) and next prime (12825811).

It is a super-2 number, since 2×12825810² = 329002804312200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12825811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17736 + ... + 18444.

It is an arithmetic number, because the mean of its divisors is an integer number (543150).

Almost surely, 2^12825810 is an apocalyptic number.

12825810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12825810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17380800).

12825810 is an abundant number, since it is smaller than the sum of its proper divisors (21935790).

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

12825810 is a wasteful number, since it uses less digits than its factorization.

12825810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 12825810 is about 3581.3140046637. The cubic root of 12825810 is about 234.0785403680.

The spelling of 12825810 in words is "twelve million, eight hundred twenty-five thousand, eight hundred ten".