10123508585 has 16 divisors (see below), whose sum is σ = 12869974656. Its totient is φ = 7618161408.

The previous prime is 10123508561. The next prime is 10123508597. The reversal of 10123508585 is 58580532101.

It is a cyclic number.

It is not a de Polignac number, because 10123508585 - 2²² = 10119314281 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 124754 + ... + 189236.

It is an arithmetic number, because the mean of its divisors is an integer number (804373416).

Almost surely, 2^10123508585 is an apocalyptic number.

It is an amenable number.

10123508585 is a deficient number, since it is larger than the sum of its proper divisors (2746466071).

10123508585 is a wasteful number, since it uses less digits than its factorization.

10123508585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66352.

The product of its (nonzero) digits is 48000, while the sum is 38.

The spelling of 10123508585 in words is "ten billion, one hundred twenty-three million, five hundred eight thousand, five hundred eighty-five".