510952 has 32 divisors (see below), whose sum is σ = 1096200. Its totient is φ = 221952.

The previous prime is 510943. The next prime is 510989. The reversal of 510952 is 259015.

It can be written as a sum of positive squares in 4 ways, for example, as 376996 + 133956 = 614^2 + 366^2 .

It is a super-2 number, since 2×510952² = 522143892608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30048 + ... + 30064.

2⁵¹⁰⁹⁵² is an apocalyptic number.

510952 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548100).

510952 is an abundant number, since it is smaller than the sum of its proper divisors (585248).

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

510952 is a wasteful number, since it uses less digits than its factorization.

510952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 510952 is about 714.8090654154. The cubic root of 510952 is about 79.9453793825.

Adding to 510952 its reverse (259015), we get a palindrome (769967).

The spelling of 510952 in words is "five hundred ten thousand, nine hundred fifty-two".