565117672 has 64 divisors (see below), whose sum is σ = 1287429120. Its totient is φ = 227017728.

The previous prime is 565117669. The next prime is 565117673. The reversal of 565117672 is 276711565.

It is a happy number.

Its product of digits (88200) is a multiple of the sum of its prime factors (2450).

It is not an unprimeable number, because it can be changed into a prime (565117673) 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 15 ways as a sum of consecutive naturals, for example, 262633 + ... + 264775.

It is an arithmetic number, because the mean of its divisors is an integer number (20116080).

Almost surely, 2^565117672 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 565117672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643714560).

565117672 is an abundant number, since it is smaller than the sum of its proper divisors (722311448).

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

565117672 is a wasteful number, since it uses less digits than its factorization.

565117672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2446 counting only the distinct ones).

The product of its digits is 88200, while the sum is 40.

The square root of 565117672 is about 23772.2037682668. The cubic root of 565117672 is about 826.7603291667.

The spelling of 565117672 in words is "five hundred sixty-five million, one hundred seventeen thousand, six hundred seventy-two".