10505337593 has 4 divisors (see below), whose sum is σ = 10559769588. Its totient is φ = 10450905600.

The previous prime is 10505337581. The next prime is 10505337599. The reversal of 10505337593 is 39573350501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2740731904 + 7764605689 = 52352^2 + 88117^2 .

It is a cyclic number.

It is not a de Polignac number, because 10505337593 - 2³⁰ = 9431595769 is a prime.

It is a super-2 number, since 2×10505337593² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10505337593.

It is not an unprimeable number, because it can be changed into a prime (10505337599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27215708 + ... + 27216093.

It is an arithmetic number, because the mean of its divisors is an integer number (2639942397).

Almost surely, 2^10505337593 is an apocalyptic number.

It is an amenable number.

10505337593 is a deficient number, since it is larger than the sum of its proper divisors (54431995).

10505337593 is an equidigital number, since it uses as much as digits as its factorization.

10505337593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54431994.

The product of its (nonzero) digits is 212625, while the sum is 41.

The spelling of 10505337593 in words is "ten billion, five hundred five million, three hundred thirty-seven thousand, five hundred ninety-three".