11513985 has 32 divisors (see below), whose sum is σ = 21461760. Its totient is φ = 5161728.

The previous prime is 11513951. The next prime is 11514001. The reversal of 11513985 is 58931511.

It is not a de Polignac number, because 11513985 - 2⁶ = 11513921 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4531 + ... + 6599.

It is an arithmetic number, because the mean of its divisors is an integer number (670680).

Almost surely, 2^11513985 is an apocalyptic number.

11513985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11513985 is a deficient number, since it is larger than the sum of its proper divisors (9947775).

11513985 is a wasteful number, since it uses less digits than its factorization.

11513985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137.

The product of its digits is 5400, while the sum is 33.

The square root of 11513985 is about 3393.2263408149. The cubic root of 11513985 is about 225.8093322290.

It can be divided in two parts, 1151398 and 5, that added together give a triangular number (1151403 = T₁₅₁₇).

The spelling of 11513985 in words is "eleven million, five hundred thirteen thousand, nine hundred eighty-five".