10585402038319 has 4 divisors (see below), whose sum is σ = 10585409672520. Its totient is φ = 10585394404120.

The previous prime is 10585402038293. The next prime is 10585402038347. The reversal of 10585402038319 is 91383020458501.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 10585402038319 - 2²⁵ = 10585368483887 is a prime.

It is a super-2 number, since 2×10585402038319² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585402038719) 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, 1085764 + ... + 4727545.

It is an arithmetic number, because the mean of its divisors is an integer number (2646352418130).

Almost surely, 2^{10585402038319} is an apocalyptic number.

10585402038319 is a deficient number, since it is larger than the sum of its proper divisors (7634201).

10585402038319 is an equidigital number, since it uses as much as digits as its factorization.

10585402038319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7634200.

The product of its (nonzero) digits is 1036800, while the sum is 49.

The spelling of 10585402038319 in words is "ten trillion, five hundred eighty-five billion, four hundred two million, thirty-eight thousand, three hundred nineteen".