12511 has 2 divisors, whose sum is σ = 12512. Its totient is φ = 12510.

The previous prime is 12503. The next prime is 12517. The reversal of 12511 is 11521.

Adding to 12511 its sum of digits (10), we get a palindrome (12521).

Subtracting from 12511 its reverse (11521), we obtain a triangular number (990 = T_{44}).

It can be divided in two parts, 125 and 11, that added together give a triangular number (136 = T_{16}).

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12511 - 2^{3} = 12503 is a prime.

It is a nialpdrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6255 + 6256.

It is an arithmetic number, because the mean of its divisors is an integer number (6256).

2^{12511} is an apocalyptic number.

12511 is a deficient number, since it is larger than the sum of its proper divisors (1).

12511 is an equidigital number, since it uses as much as digits as its factorization.

12511 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10, while the sum is 10.

The square root of 12511 is about 111.8525815527. The cubic root of 12511 is about 23.2147498357.

The spelling of 12511 in words is "twelve thousand, five hundred eleven".

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