12824525 has 54 divisors (see below), whose sum is σ = 20196810. Its totient is φ = 8043840.

The previous prime is 12824519. The next prime is 12824543. The reversal of 12824525 is 52542821.

It can be written as a sum of positive squares in 3 ways, for example, as 866761 + 11957764 = 931^2 + 3458^2 .

It is not a de Polignac number, because 12824525 - 2¹⁴ = 12808141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 442211 + ... + 442239.

It is an arithmetic number, because the mean of its divisors is an integer number (374015).

Almost surely, 2^12824525 is an apocalyptic number.

It is an amenable number.

12824525 is a deficient number, since it is larger than the sum of its proper divisors (7372285).

12824525 is a wasteful number, since it uses less digits than its factorization.

12824525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 60 counting only the distinct ones).

The product of its digits is 6400, while the sum is 29.

The square root of 12824525 is about 3581.1345967444. The cubic root of 12824525 is about 234.0707227728.

Multiplying 12824525 by its sum of digits (29), we get a square (371911225 = 19285²).

12824525 divided by its sum of digits (29) gives a square (442225 = 665²).

The spelling of 12824525 in words is "twelve million, eight hundred twenty-four thousand, five hundred twenty-five".