511314 has 16 divisors (see below), whose sum is σ = 1056000. Its totient is φ = 164880.

The previous prime is 511297. The next prime is 511327. The reversal of 511314 is 413115.

It is a super-2 number, since 2×511314² = 522884013192, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 511293 and 511302.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 511314.

It is an unprimeable number.

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, 1189 + ... + 1560.

It is an arithmetic number, because the mean of its divisors is an integer number (66000).

2⁵¹¹³¹⁴ is an apocalyptic number.

511314 is an abundant number, since it is smaller than the sum of its proper divisors (544686).

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

511314 is a wasteful number, since it uses less digits than its factorization.

511314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785.

The product of its digits is 60, while the sum is 15.

The square root of 511314 is about 715.0622350537. The cubic root of 511314 is about 79.9642548643.

Adding to 511314 its reverse (413115), we get a palindrome (924429).

The spelling of 511314 in words is "five hundred eleven thousand, three hundred fourteen".