511120 has 20 divisors (see below), whose sum is σ = 1188540. Its totient is φ = 204416.

The previous prime is 511111. The next prime is 511123. The reversal of 511120 is 21115.

511120 = 20² + 21² + ... + 115².

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 59536 + 451584 = 244^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×511120² = 522487308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 511097 and 511106.

It is not an unprimeable number, because it can be changed into a prime (511123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3115 + ... + 3274.

It is an arithmetic number, because the mean of its divisors is an integer number (59427).

2⁵¹¹¹²⁰ is an apocalyptic number.

It is an amenable number.

511120 is an abundant number, since it is smaller than the sum of its proper divisors (677420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

511120 is a wasteful number, since it uses less digits than its factorization.

511120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6402 (or 6396 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 511120 is about 714.9265696559. The cubic root of 511120 is about 79.9541403829.

Adding to 511120 its reverse (21115), we get a palindrome (532235).

The spelling of 511120 in words is "five hundred eleven thousand, one hundred twenty".