511506220 has 48 divisors (see below), whose sum is σ = 1142436960. Its totient is φ = 191821824.

The previous prime is 511506211. The next prime is 511506221. The reversal of 511506220 is 22605115.

It is a super-3 number, since 3×511506220³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 511506191 and 511506200.

It is not an unprimeable number, because it can be changed into a prime (511506221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29922 + ... + 43798.

It is an arithmetic number, because the mean of its divisors is an integer number (23800770).

Almost surely, 2^511506220 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 511506220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571218480).

511506220 is an abundant number, since it is smaller than the sum of its proper divisors (630930740).

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

511506220 is a wasteful number, since it uses less digits than its factorization.

511506220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14002 (or 14000 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 511506220 is about 22616.5032664203. The cubic root of 511506220 is about 799.7427401973.

The spelling of 511506220 in words is "five hundred eleven million, five hundred six thousand, two hundred twenty".