11515 has 12 divisors (see below), whose sum is σ = 16416. Its totient is φ = 7728.

The previous prime is 11503. The next prime is 11519. The reversal of 11515 is 51511.

It is not a de Polignac number, because 11515 - 2⁵ = 11483 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11495 and 11504.

It is not an unprimeable number, because it can be changed into a prime (11519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222 + ... + 268.

It is an arithmetic number, because the mean of its divisors is an integer number (1368).

2¹¹⁵¹⁵ is an apocalyptic number.

11515 is a deficient number, since it is larger than the sum of its proper divisors (4901).

11515 is an equidigital number, since it uses as much as digits as its factorization.

11515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 59 counting only the distinct ones).

The product of its digits is 25, while the sum is 13.

The square root of 11515 is about 107.3079680173. The cubic root of 11515 is about 22.5815967341.

It can be divided in two parts, 1151 and 5, that added together give a square (1156 = 34²).

The spelling of 11515 in words is "eleven thousand, five hundred fifteen".