10505041613 has 32 divisors (see below), whose sum is σ = 12299143680. Its totient is φ = 8872200000.

The previous prime is 10505041609. The next prime is 10505041619. The reversal of 10505041613 is 31614050501.

10505041613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10505041613 - 2² = 10505041609 is a prime.

It is a super-2 number, since 2×10505041613² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505041619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2256338 + ... + 2260988.

It is an arithmetic number, because the mean of its divisors is an integer number (384348240).

Almost surely, 2^10505041613 is an apocalyptic number.

It is an amenable number.

10505041613 is a deficient number, since it is larger than the sum of its proper divisors (1794102067).

10505041613 is a wasteful number, since it uses less digits than its factorization.

10505041613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889.

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 10505041613 in words is "ten billion, five hundred five million, forty-one thousand, six hundred thirteen".