10585121375 has 8 divisors (see below), whose sum is σ = 13210231632. Its totient is φ = 8468097000.

The previous prime is 10585121347. The next prime is 10585121377. The reversal of 10585121375 is 57312158501.

It is not a de Polignac number, because 10585121375 - 2⁶ = 10585121311 is a prime.

It is a super-2 number, since 2×10585121375² (a number of 21 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 (10585121377) 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 7 ways as a sum of consecutive naturals, for example, 42340361 + ... + 42340610.

It is an arithmetic number, because the mean of its divisors is an integer number (1651278954).

Almost surely, 2^10585121375 is an apocalyptic number.

10585121375 is a deficient number, since it is larger than the sum of its proper divisors (2625110257).

10585121375 is an frugal number, since it uses more digits than its factorization.

10585121375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84680986 (or 84680976 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 38.

Adding to 10585121375 its reverse (57312158501), we get a palindrome (67897279876).

The spelling of 10585121375 in words is "ten billion, five hundred eighty-five million, one hundred twenty-one thousand, three hundred seventy-five".