511952 has 30 divisors (see below), whose sum is σ = 1155618. Its totient is φ = 219072.

The previous prime is 511939. The next prime is 511961. The reversal of 511952 is 259115.

It can be written as a sum of positive squares in only one way, i.e., 379456 + 132496 = 616^2 + 364^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

511952 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 in 5 ways as a sum of consecutive naturals, for example, 458 + ... + 1110.

2⁵¹¹⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577809).

511952 is an abundant number, since it is smaller than the sum of its proper divisors (643666).

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

511952 is a wasteful number, since it uses less digits than its factorization.

511952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 662 counting only the distinct ones).

The product of its digits is 450, while the sum is 23.

The square root of 511952 is about 715.5082109941. The cubic root of 511952 is about 79.9974999219.

The spelling of 511952 in words is "five hundred eleven thousand, nine hundred fifty-two".