10511 has 4 divisors (see below), whose sum is σ = 10992. Its totient is φ = 10032.

The previous prime is 10501. The next prime is 10513. The reversal of 10511 is 11501.

10511 = T₁₈ + T₁₉ + ... + T₄₀.

It is a happy number.

10511 is digitally balanced in base 2, 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.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10511 is a prime.

It is a super-2 number, since 2×10511² = 220962242, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206 + ... + 251.

It is an arithmetic number, because the mean of its divisors is an integer number (2748).

2¹⁰⁵¹¹ is an apocalyptic number.

10511 is a deficient number, since it is larger than the sum of its proper divisors (481).

10511 is an equidigital number, since it uses as much as digits as its factorization.

10511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480.

The product of its (nonzero) digits is 5, while the sum is 8.

The square root of 10511 is about 102.5231681134. The cubic root of 10511 is about 21.9052398101.

Subtracting 10511 from its reverse (11501), we obtain a triangular number (990 = T₄₄).

The spelling of 10511 in words is "ten thousand, five hundred eleven".