506610064 has 45 divisors (see below), whose sum is σ = 1045851681. Its totient is φ = 237684480.

The previous prime is 506610037. The next prime is 506610073. The reversal of 506610064 is 460016605.

The square root of 506610064 is 22508.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 394419600 + 112190464 = 19860^2 + 10592^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1530379 + ... + 1530709.

Almost surely, 2^506610064 is an apocalyptic number.

506610064 is the 22508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506610064

506610064 is an abundant number, since it is smaller than the sum of its proper divisors (539241617).

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

506610064 is an equidigital number, since it uses as much as digits as its factorization.

506610064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The cubic root of 506610064 is about 797.1828327726.

Adding to 506610064 its reverse (460016605), we get a palindrome (966626669).

The spelling of 506610064 in words is "five hundred six million, six hundred ten thousand, sixty-four".