510512220 has 120 divisors (see below), whose sum is σ = 1622174400. Its totient is φ = 134379648.

The previous prime is 510512161. The next prime is 510512221. The reversal of 510512220 is 22215015.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 510512193 and 510512202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510512221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125986 + ... + 129974.

It is an arithmetic number, because the mean of its divisors is an integer number (13518120).

Almost surely, 2^510512220 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 510512220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811087200).

510512220 is an abundant number, since it is smaller than the sum of its proper divisors (1111662180).

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

510512220 is a wasteful number, since it uses less digits than its factorization.

510512220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 510512220 is about 22594.5174765915. The cubic root of 510512220 is about 799.2243628101.

Adding to 510512220 its reverse (22215015), we get a palindrome (532727235).

The spelling of 510512220 in words is "five hundred ten million, five hundred twelve thousand, two hundred twenty".