13083552 has 96 divisors (see below), whose sum is σ = 40219200. Its totient is φ = 4126464.

The previous prime is 13083547. The next prime is 13083563. The reversal of 13083552 is 25538031.

13083552 is a `hidden beast` number, since 1 + 30 + 83 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16018 + ... + 16814.

It is an arithmetic number, because the mean of its divisors is an integer number (418950).

Almost surely, 2^13083552 is an apocalyptic number.

13083552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13083552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20109600).

13083552 is an abundant number, since it is smaller than the sum of its proper divisors (27135648).

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

13083552 is a wasteful number, since it uses less digits than its factorization.

13083552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 13083552 is about 3617.1192957933. The cubic root of 13083552 is about 235.6361337135.

The spelling of 13083552 in words is "thirteen million, eighty-three thousand, five hundred fifty-two".