511054020 has 288 divisors, whose sum is σ = 1745452800. Its totient is φ = 120434688.

The previous prime is 511054007. The next prime is 511054069. The reversal of 511054020 is 20450115.

511054020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×511054020² = 522352422716320800, which contains 22 as substring.

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 = 511053984 and 511054002.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5742136 + ... + 5742224.

It is an arithmetic number, because the mean of its divisors is an integer number (6060600).

Almost surely, 2^511054020 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 511054020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872726400).

511054020 is an abundant number, since it is smaller than the sum of its proper divisors (1234398780).

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

511054020 is a wasteful number, since it uses less digits than its factorization.

511054020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 214 counting only the distinct ones).

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

The square root of 511054020 is about 22606.5039313911. The cubic root of 511054020 is about 799.5069983324.

The spelling of 511054020 in words is "five hundred eleven million, fifty-four thousand, twenty".