511965 has 24 divisors (see below), whose sum is σ = 918528. Its totient is φ = 263520.

The previous prime is 511963. The next prime is 511991. The reversal of 511965 is 569115.

It is not a de Polignac number, because 511965 - 2¹ = 511963 is a prime.

It is a super-2 number, since 2×511965² = 524216322450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511961) 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, 1212 + ... + 1578.

It is an arithmetic number, because the mean of its divisors is an integer number (38272).

2⁵¹¹⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

511965 is a deficient number, since it is larger than the sum of its proper divisors (406563).

511965 is a wasteful number, since it uses less digits than its factorization.

511965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 406 counting only the distinct ones).

The product of its digits is 1350, while the sum is 27.

The square root of 511965 is about 715.5172953884. The cubic root of 511965 is about 79.9981770418.

Adding to 511965 its product of digits (1350), we get a palindrome (513315).

It can be divided in two parts, 5119 and 65, that added together give a square (5184 = 72²).

The spelling of 511965 in words is "five hundred eleven thousand, nine hundred sixty-five".