10005100593 has 16 divisors (see below), whose sum is σ = 14173076736. Its totient is φ = 6256275200.

The previous prime is 10005100571. The next prime is 10005100613. The reversal of 10005100593 is 39500150001.

It is a cyclic number.

It is not a de Polignac number, because 10005100593 - 2⁵ = 10005100561 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10005101593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319833 + ... + 349718.

It is an arithmetic number, because the mean of its divisors is an integer number (885817296).

Almost surely, 2^10005100593 is an apocalyptic number.

It is an amenable number.

10005100593 is a deficient number, since it is larger than the sum of its proper divisors (4167976143).

10005100593 is a wasteful number, since it uses less digits than its factorization.

10005100593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669864.

The product of its (nonzero) digits is 675, while the sum is 24.

Adding to 10005100593 its reverse (39500150001), we get a palindrome (49505250594).

The spelling of 10005100593 in words is "ten billion, five million, one hundred thousand, five hundred ninety-three".