10005105424513 has 4 divisors (see below), whose sum is σ = 10531689920560. Its totient is φ = 9478520928468.

The previous prime is 10005105424441. The next prime is 10005105424607. The reversal of 10005105424513 is 31542450150001.

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 not a de Polignac number, because 10005105424513 - 2¹⁷ = 10005105293441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10005105424913) 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, 263292247995 + ... + 263292248032.

It is an arithmetic number, because the mean of its divisors is an integer number (2632922480140).

Almost surely, 2^{10005105424513} is an apocalyptic number.

It is an amenable number.

10005105424513 is a deficient number, since it is larger than the sum of its proper divisors (526584496047).

10005105424513 is an equidigital number, since it uses as much as digits as its factorization.

10005105424513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526584496046.

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 10005105424513 its reverse (31542450150001), we get a palindrome (41547555574514).

The spelling of 10005105424513 in words is "ten trillion, five billion, one hundred five million, four hundred twenty-four thousand, five hundred thirteen".