510082272 has 144 divisors (see below), whose sum is σ = 1719349632. Its totient is φ = 145722240.

The previous prime is 510082267. The next prime is 510082273. The reversal of 510082272 is 272280015.

510082272 is a `hidden beast` number, since 510 + 0 + 82 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510082273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49747 + ... + 59117.

It is an arithmetic number, because the mean of its divisors is an integer number (11939928).

Almost surely, 2^510082272 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 510082272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859674816).

510082272 is an abundant number, since it is smaller than the sum of its proper divisors (1209267360).

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

510082272 is an equidigital number, since it uses as much as digits as its factorization.

510082272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9403 (or 9383 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 510082272 is about 22585.0010405136. The cubic root of 510082272 is about 798.9999336885. Note that the first 4 decimals are identical.

The spelling of 510082272 in words is "five hundred ten million, eighty-two thousand, two hundred seventy-two".