510972 has 72 divisors (see below), whose sum is σ = 1532160. Its totient is φ = 131040.

The previous prime is 510943. The next prime is 510989. The reversal of 510972 is 279015.

510972 = T₄₈ + T₄₉ + ... + T₁₄₆.

It is a super-2 number, since 2×510972² = 522184769568, which contains 22 as substring.

It is a nialpdrome in base 14.

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 510972.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6429 + ... + 6507.

It is an arithmetic number, because the mean of its divisors is an integer number (21280).

2⁵¹⁰⁹⁷² 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 510972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080).

510972 is an abundant number, since it is smaller than the sum of its proper divisors (1021188).

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

510972 is a wasteful number, since it uses less digits than its factorization.

510972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 510972 is about 714.8230550283. The cubic root of 510972 is about 79.9464224594.

Adding to 510972 its reverse (279015), we get a palindrome (789987).

The spelling of 510972 in words is "five hundred ten thousand, nine hundred seventy-two".