511320 has 32 divisors (see below), whose sum is σ = 1534320. Its totient is φ = 136320.

The previous prime is 511297. The next prime is 511327. The reversal of 511320 is 23115.

It is a super-2 number, since 2×511320² = 522896284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 511296 and 511305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511327) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2011 + ... + 2250.

2⁵¹¹³²⁰ is an apocalyptic number.

It is an amenable number.

511320 is an abundant number, since it is smaller than the sum of its proper divisors (1023000).

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

511320 is a wasteful number, since it uses less digits than its factorization.

511320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 511320 is about 715.0664304804. The cubic root of 511320 is about 79.9645676425.

Adding to 511320 its reverse (23115), we get a palindrome (534435).

It can be divided in two parts, 5 and 11320, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 511320 in words is "five hundred eleven thousand, three hundred twenty".