511300000 has 72 divisors (see below), whose sum is σ = 1258442892. Its totient is φ = 204480000.

The previous prime is 511299961. The next prime is 511300033. The reversal of 511300000 is 3115.

It can be written as a sum of positive squares in 6 ways, for example, as 211179024 + 300120976 = 14532^2 + 17324^2 .

It is a super-2 number, since 2×511300000² = 522855380000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 511300000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97444 + ... + 102556.

Almost surely, 2^511300000 is an apocalyptic number.

511300000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629221446).

511300000 is an abundant number, since it is smaller than the sum of its proper divisors (747142892).

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

511300000 is an frugal number, since it uses more digits than its factorization.

511300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5148 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 511300000 is about 22611.9437466132. The cubic root of 511300000 is about 799.6352503891.

Adding to 511300000 its reverse (3115), we get a palindrome (511303115).

The spelling of 511300000 in words is "five hundred eleven million, three hundred thousand".