12993513 has 16 divisors (see below), whose sum is σ = 18734016. Its totient is φ = 7963200.

The previous prime is 12993509. The next prime is 12993571. The reversal of 12993513 is 31539921.

12993513 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12993513 - 2² = 12993509 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12993313) 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, 11838 + ... + 12888.

It is an arithmetic number, because the mean of its divisors is an integer number (1170876).

Almost surely, 2^12993513 is an apocalyptic number.

12993513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12993513 is a deficient number, since it is larger than the sum of its proper divisors (5740503).

12993513 is a wasteful number, since it uses less digits than its factorization.

12993513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384.

The product of its digits is 7290, while the sum is 33.

The square root of 12993513 is about 3604.6515781695. The cubic root of 12993513 is about 235.0943517312.

The spelling of 12993513 in words is "twelve million, nine hundred ninety-three thousand, five hundred thirteen".