13511 has 4 divisors (see below), whose sum is σ = 13800. Its totient is φ = 13224.

The previous prime is 13499. The next prime is 13513. The reversal of 13511 is 11531.

13511 is nontrivially palindromic in base 4.

13511 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 11531 = 13 ⋅887.

It is a cyclic number.

It is not a de Polignac number, because 13511 - 2^{10} = 12487 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 13492 and 13501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13513) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56 + ... + 173.

It is an arithmetic number, because the mean of its divisors is an integer number (3450).

2^{13511} is an apocalyptic number.

13511 is a deficient number, since it is larger than the sum of its proper divisors (289).

13511 is an equidigital number, since it uses as much as digits as its factorization.

13511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288.

The product of its digits is 15, while the sum is 11.

The square root of 13511 is about 116.2368272107. The cubic root of 13511 is about 23.8174812133.

It can be divided in two parts, 135 and 11, that multiplied together give a triangular number (1485 = T_{54}).

The spelling of 13511 in words is "thirteen thousand, five hundred eleven".

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