10585420409 has 4 divisors (see below), whose sum is σ = 10668770304. Its totient is φ = 10502070516.

The previous prime is 10585420403. The next prime is 10585420411. The reversal of 10585420409 is 90402458501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10585420409 is a prime.

It is a super-2 number, since 2×10585420409² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10585420403) 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, 41674757 + ... + 41675010.

It is an arithmetic number, because the mean of its divisors is an integer number (2667192576).

Almost surely, 2^10585420409 is an apocalyptic number.

It is an amenable number.

10585420409 is a deficient number, since it is larger than the sum of its proper divisors (83349895).

10585420409 is an equidigital number, since it uses as much as digits as its factorization.

10585420409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83349894.

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 10585420409 in words is "ten billion, five hundred eighty-five million, four hundred twenty thousand, four hundred nine".