511861248 has 160 divisors (see below), whose sum is σ = 1542520320. Its totient is φ = 167546880.

The previous prime is 511861201. The next prime is 511861321. The reversal of 511861248 is 842168115.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842961 + ... + 843567.

It is an arithmetic number, because the mean of its divisors is an integer number (9640752).

Almost surely, 2^511861248 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 511861248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771260160).

511861248 is an abundant number, since it is smaller than the sum of its proper divisors (1030659072).

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

511861248 is an equidigital number, since it uses as much as digits as its factorization.

511861248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 673 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 511861248 is about 22624.3507752156. The cubic root of 511861248 is about 799.9277268043.

It can be divided in two parts, 5118 and 61248, that added together give a palindrome (66366).

The spelling of 511861248 in words is "five hundred eleven million, eight hundred sixty-one thousand, two hundred forty-eight".