13001624007 has 16 divisors (see below), whose sum is σ = 17937976320. Its totient is φ = 8371040832.

The previous prime is 13001623949. The next prime is 13001624039. The reversal of 13001624007 is 70042610031.

13001624007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13001624007 - 2⁷ = 13001623879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001624087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554743 + ... + 577704.

It is an arithmetic number, because the mean of its divisors is an integer number (1121123520).

Almost surely, 2^13001624007 is an apocalyptic number.

13001624007 is a deficient number, since it is larger than the sum of its proper divisors (4936352313).

13001624007 is a wasteful number, since it uses less digits than its factorization.

13001624007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132582.

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 13001624007 in words is "thirteen billion, one million, six hundred twenty-four thousand, seven".