12553506 has 72 divisors (see below), whose sum is σ = 32473584. Its totient is φ = 3492720.

The previous prime is 12553493. The next prime is 12553511. The reversal of 12553506 is 60535521.

12553506 is a `hidden beast` number, since 125 + 535 + 0 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12553506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37761 + ... + 38091.

It is an arithmetic number, because the mean of its divisors is an integer number (451022).

Almost surely, 2^12553506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12553506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16236792).

12553506 is an abundant number, since it is smaller than the sum of its proper divisors (19920078).

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

12553506 is a wasteful number, since it uses less digits than its factorization.

12553506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 12553506 is about 3543.0927168224. The cubic root of 12553506 is about 232.4101074619.

It can be divided in two parts, 1255 and 3506, that added together give a square (4761 = 69²).

The spelling of 12553506 in words is "twelve million, five hundred fifty-three thousand, five hundred six".