4065082564 has 27 divisors (see below), whose sum is σ = 7231607341. Its totient is φ = 1999450880.

The previous prime is 4065082561. The next prime is 4065082577. The reversal of 4065082564 is 4652805604.

The square root of 4065082564 is 63758.

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., 2484224964 + 1580857600 = 49842^2 + 39760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4065082561) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9053412 + ... + 9053860.

Almost surely, 2^4065082564 is an apocalyptic number.

4065082564 is the 63758-th square number.

It is an amenable number.

4065082564 is a deficient number, since it is larger than the sum of its proper divisors (3166524777).

4065082564 is an frugal number, since it uses more digits than its factorization.

4065082564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The cubic root of 4065082564 is about 1595.9641205452.

Multiplying 4065082564 by its product of nonzero digits (230400), we get a square (936595022745600 = 30603840²).

The spelling of 4065082564 in words is "four billion, sixty-five million, eighty-two thousand, five hundred sixty-four".