11286513 has 48 divisors (see below), whose sum is σ = 20520000. Its totient is φ = 6096384.

The previous prime is 11286503. The next prime is 11286547. The reversal of 11286513 is 31568211.

11286513 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 651 + 3 = 666.

It is not a de Polignac number, because 11286513 - 2⁴ = 11286497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11286503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24913 + ... + 25361.

It is an arithmetic number, because the mean of its divisors is an integer number (427500).

Almost surely, 2^11286513 is an apocalyptic number.

It is an amenable number.

11286513 is a deficient number, since it is larger than the sum of its proper divisors (9233487).

11286513 is a wasteful number, since it uses less digits than its factorization.

11286513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 478 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 11286513 is about 3359.5405935931. The cubic root of 11286513 is about 224.3123896607.

The spelling of 11286513 in words is "eleven million, two hundred eighty-six thousand, five hundred thirteen".