10290804565 has 16 divisors (see below), whose sum is σ = 13079061360. Its totient is φ = 7746186240.

The previous prime is 10290804533. The next prime is 10290804577. The reversal of 10290804565 is 56540809201.

10290804565 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 713637796 + 9577166769 = 26714^2 + 97863^2 .

It is not a de Polignac number, because 10290804565 - 2⁵ = 10290804533 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326731 + ... + 356839.

It is an arithmetic number, because the mean of its divisors is an integer number (817441335).

Almost surely, 2^10290804565 is an apocalyptic number.

It is an amenable number.

10290804565 is a deficient number, since it is larger than the sum of its proper divisors (2788256795).

10290804565 is a wasteful number, since it uses less digits than its factorization.

10290804565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34152.

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 10290804565 in words is "ten billion, two hundred ninety million, eight hundred four thousand, five hundred sixty-five".