511213220 has 48 divisors (see below), whose sum is σ = 1230888960. Its totient is φ = 174705024.

The previous prime is 511213211. The next prime is 511213231. The reversal of 511213220 is 22312115.

It is a happy number.

It is a super-2 number, since 2×511213220² = 522677912605536800, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 38621 + ... + 50139.

It is an arithmetic number, because the mean of its divisors is an integer number (25643520).

Almost surely, 2^511213220 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 511213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615444480).

511213220 is an abundant number, since it is smaller than the sum of its proper divisors (719675740).

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

511213220 is a wasteful number, since it uses less digits than its factorization.

511213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11852 (or 11850 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 511213220 is about 22610.0247677883. The cubic root of 511213220 is about 799.5900086698.

Adding to 511213220 its reverse (22312115), we get a palindrome (533525335).

The spelling of 511213220 in words is "five hundred eleven million, two hundred thirteen thousand, two hundred twenty".