531564066 has 64 divisors (see below), whose sum is σ = 1291651200. Its totient is φ = 160704000.

The previous prime is 531564049. The next prime is 531564079. The reversal of 531564066 is 660465135.

531564066 is a `hidden beast` number, since 5 + 3 + 1 + 5 + 640 + 6 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 531564066.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356250 + ... + 357738.

It is an arithmetic number, because the mean of its divisors is an integer number (20182050).

Almost surely, 2^531564066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531564066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645825600).

531564066 is an abundant number, since it is smaller than the sum of its proper divisors (760087134).

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

531564066 is a wasteful number, since it uses less digits than its factorization.

531564066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 531564066 is about 23055.6731847066. The cubic root of 531564066 is about 810.0625191799.

The spelling of 531564066 in words is "five hundred thirty-one million, five hundred sixty-four thousand, sixty-six".