510500864 has 56 divisors (see below), whose sum is σ = 1032718788. Its totient is φ = 252313600.

The previous prime is 510500779. The next prime is 510500867. The reversal of 510500864 is 468005015.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 510398464 + 102400 = 22592^2 + 320^2 .

It is a super-2 number, since 2×510500864² = 521222264289492992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (510500867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 827084 + ... + 827700.

Almost surely, 2^510500864 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 510500864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516359394).

510500864 is an abundant number, since it is smaller than the sum of its proper divisors (522217924).

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

510500864 is an equidigital number, since it uses as much as digits as its factorization.

510500864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 510500864 is about 22594.2661752932. The cubic root of 510500864 is about 799.2184366972.

Adding to 510500864 its reverse (468005015), we get a palindrome (978505879).

The spelling of 510500864 in words is "five hundred ten million, five hundred thousand, eight hundred sixty-four".