511152 has 40 divisors (see below), whose sum is σ = 1380864. Its totient is φ = 162624.

The previous prime is 511151. The next prime is 511153. The reversal of 511152 is 251115.

It is an interprime number because it is at equal distance from previous prime (511151) and next prime (511153).

It is a super-2 number, since 2×511152² = 522552734208, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 511152.

It is not an unprimeable number, because it can be changed into a prime (511151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 873 + ... + 1335.

2⁵¹¹¹⁵² 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 511152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690432).

511152 is an abundant number, since it is smaller than the sum of its proper divisors (869712).

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

511152 is a wasteful number, since it uses less digits than its factorization.

511152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its digits is 50, while the sum is 15.

The square root of 511152 is about 714.9489492264. The cubic root of 511152 is about 79.9558089272.

Adding to 511152 its reverse (251115), we get a palindrome (762267).

The spelling of 511152 in words is "five hundred eleven thousand, one hundred fifty-two".