511220992 has 72 divisors (see below), whose sum is σ = 1092395360. Its totient is φ = 238049280.

The previous prime is 511220981. The next prime is 511220999. The reversal of 511220992 is 299022115.

It is a super-2 number, since 2×511220992² = 522693805322928128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511220999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295843 + ... + 297565.

Almost surely, 2^511220992 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 511220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546197680).

511220992 is an abundant number, since it is smaller than the sum of its proper divisors (581174368).

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

511220992 is a wasteful number, since it uses less digits than its factorization.

511220992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 511220992 is about 22610.1966378004. The cubic root of 511220992 is about 799.5940607181.

The spelling of 511220992 in words is "five hundred eleven million, two hundred twenty thousand, nine hundred ninety-two".