511312 has 10 divisors (see below), whose sum is σ = 990698. Its totient is φ = 255648.

The previous prime is 511297. The next prime is 511327. The reversal of 511312 is 213115.

It is an interprime number because it is at equal distance from previous prime (511297) and next prime (511327).

It can be written as a sum of positive squares in only one way, i.e., 484416 + 26896 = 696^2 + 164^2 .

It is a super-2 number, since 2×511312² = 522879922688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 511292 and 511301.

It is a congruent number.

It is an unprimeable number.

511312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15963 + ... + 15994.

2⁵¹¹³¹² is an apocalyptic number.

It is an amenable number.

511312 is a deficient number, since it is larger than the sum of its proper divisors (479386).

511312 is a wasteful number, since it uses less digits than its factorization.

511312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31965 (or 31959 counting only the distinct ones).

The product of its digits is 30, while the sum is 13.

The square root of 511312 is about 715.0608365727. The cubic root of 511312 is about 79.9641506043.

Adding to 511312 its reverse (213115), we get a palindrome (724427).

The spelling of 511312 in words is "five hundred eleven thousand, three hundred twelve".