506564964 has 36 divisors (see below), whose sum is σ = 1292460624. Its totient is φ = 167275632.

The previous prime is 506564939. The next prime is 506564969. The reversal of 506564964 is 469465605.

506564964 is a `hidden beast` number, since 506 + 56 + 4 + 96 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (506564969) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 61902 + ... + 69605.

It is an arithmetic number, because the mean of its divisors is an integer number (35901684).

Almost surely, 2^506564964 is an apocalyptic number.

It is an amenable number.

506564964 is an abundant number, since it is smaller than the sum of its proper divisors (785895660).

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

506564964 is a wasteful number, since it uses less digits than its factorization.

506564964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131624 (or 131619 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 506564964 is about 22506.9981116985. The cubic root of 506564964 is about 797.1591761741.

It can be divided in two parts, 506564 and 964, that added together give a triangular number (507528 = T₁₀₀₇).

The spelling of 506564964 in words is "five hundred six million, five hundred sixty-four thousand, nine hundred sixty-four".