10127000585 has 8 divisors (see below), whose sum is σ = 13087200840. Its totient is φ = 7478400384.

The previous prime is 10127000573. The next prime is 10127000617. The reversal of 10127000585 is 58500072101.

It can be written as a sum of positive squares in 4 ways, for example, as 480617929 + 9646382656 = 21923^2 + 98216^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10127000585 - 2⁸ = 10127000329 is a prime.

It is a super-2 number, since 2×10127000585² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77899940 + ... + 77900069.

It is an arithmetic number, because the mean of its divisors is an integer number (1635900105).

Almost surely, 2^10127000585 is an apocalyptic number.

It is an amenable number.

10127000585 is a deficient number, since it is larger than the sum of its proper divisors (2960200255).

10127000585 is a wasteful number, since it uses less digits than its factorization.

10127000585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155800027.

The product of its (nonzero) digits is 2800, while the sum is 29.

Adding to 10127000585 its reverse (58500072101), we get a palindrome (68627072686).

The spelling of 10127000585 in words is "ten billion, one hundred twenty-seven million, five hundred eighty-five", and thus it is an aban number.