11628513 has 24 divisors (see below), whose sum is σ = 19044480. Its totient is φ = 6778080.

The previous prime is 11628509. The next prime is 11628517. The reversal of 11628513 is 31582611.

It is an interprime number because it is at equal distance from previous prime (11628509) and next prime (11628517).

It is not a de Polignac number, because 11628513 - 2² = 11628509 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11628517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393 + ... + 4838.

It is an arithmetic number, because the mean of its divisors is an integer number (793520).

Almost surely, 2^11628513 is an apocalyptic number.

11628513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11628513 is a deficient number, since it is larger than the sum of its proper divisors (7415967).

11628513 is a wasteful number, since it uses less digits than its factorization.

11628513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269 (or 5266 counting only the distinct ones).

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

The square root of 11628513 is about 3410.0605566471. The cubic root of 11628513 is about 226.5555614173. Note that the first 4 decimals are identical.

The spelling of 11628513 in words is "eleven million, six hundred twenty-eight thousand, five hundred thirteen".