13007493 has 16 divisors (see below), whose sum is σ = 19360000. Its totient is φ = 8631360.

The previous prime is 13007483. The next prime is 13007509. The reversal of 13007493 is 39470031.

13007493 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13007493 - 2²⁰ = 11958917 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13007453) 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, 5508 + ... + 7506.

It is an arithmetic number, because the mean of its divisors is an integer number (1210000).

Almost surely, 2^13007493 is an apocalyptic number.

It is an amenable number.

13007493 is a deficient number, since it is larger than the sum of its proper divisors (6352507).

13007493 is a wasteful number, since it uses less digits than its factorization.

13007493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 13007493 is about 3606.5902179205. The cubic root of 13007493 is about 235.1786358666.

The spelling of 13007493 in words is "thirteen million, seven thousand, four hundred ninety-three".