13005083 has 16 divisors (see below), whose sum is σ = 16099776. Its totient is φ = 10229760.

The previous prime is 13005073. The next prime is 13005103. The reversal of 13005083 is 38050031.

13005083 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13005083 - 2¹² = 13000987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13005053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21635 + ... + 22227.

It is an arithmetic number, because the mean of its divisors is an integer number (1006236).

Almost surely, 2^13005083 is an apocalyptic number.

13005083 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13005083 is a deficient number, since it is larger than the sum of its proper divisors (3094693).

13005083 is a wasteful number, since it uses less digits than its factorization.

13005083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 13005083 is about 3606.2560918493. The cubic root of 13005083 is about 235.1641105075.

The spelling of 13005083 in words is "thirteen million, five thousand, eighty-three".