12506013 has 24 divisors (see below), whose sum is σ = 19688760. Its totient is φ = 7603200.

The previous prime is 12506003. The next prime is 12506023. The reversal of 12506013 is 31060521.

12506013 is a `hidden beast` number, since 12 + 50 + 601 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (12506003) and next prime (12506023).

It can be written as a sum of positive squares in 4 ways, for example, as 1397124 + 11108889 = 1182^2 + 3333^2 .

It is not a de Polignac number, because 12506013 - 2⁵ = 12505981 is a prime.

It is a super-2 number, since 2×12506013² = 312800722312338, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12506003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9813 + ... + 11013.

It is an arithmetic number, because the mean of its divisors is an integer number (820365).

Almost surely, 2^12506013 is an apocalyptic number.

12506013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12506013 is a deficient number, since it is larger than the sum of its proper divisors (7182747).

12506013 is a wasteful number, since it uses less digits than its factorization.

12506013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 12506013 is about 3536.3841703073. The cubic root of 12506013 is about 232.1166488801.

Adding to 12506013 its reverse (31060521), we get a palindrome (43566534).

The spelling of 12506013 in words is "twelve million, five hundred six thousand, thirteen".