10505006013 has 8 divisors (see below), whose sum is σ = 14007148128. Its totient is φ = 7003100624.

The previous prime is 10505006011. The next prime is 10505006047. The reversal of 10505006013 is 31060050501.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 10505006013 - 2¹ = 10505006011 is a prime.

It is a super-2 number, since 2×10505006013² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505006011) 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 7 ways as a sum of consecutive naturals, for example, 145231 + ... + 205187.

It is an arithmetic number, because the mean of its divisors is an integer number (1750893516).

Almost surely, 2^10505006013 is an apocalyptic number.

It is an amenable number.

10505006013 is a deficient number, since it is larger than the sum of its proper divisors (3502142115).

10505006013 is an equidigital number, since it uses as much as digits as its factorization.

10505006013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118363.

The product of its (nonzero) digits is 450, while the sum is 21.

Adding to 10505006013 its reverse (31060050501), we get a palindrome (41565056514).

The spelling of 10505006013 in words is "ten billion, five hundred five million, six thousand, thirteen".