10405064652613 has 32 divisors (see below), whose sum is σ = 11104629719040. Its totient is φ = 9728663630400.

The previous prime is 10405064652601. The next prime is 10405064652637. The reversal of 10405064652613 is 31625646050401.

It is a cyclic number.

It is not a de Polignac number, because 10405064652613 - 2²⁵ = 10405031098181 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10405064652613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405064652643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1284413263 + ... + 1284421363.

It is an arithmetic number, because the mean of its divisors is an integer number (347019678720).

Almost surely, 2^{10405064652613} is an apocalyptic number.

It is an amenable number.

10405064652613 is a deficient number, since it is larger than the sum of its proper divisors (699565066427).

10405064652613 is a wasteful number, since it uses less digits than its factorization.

10405064652613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15169.

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 10405064652613 in words is "ten trillion, four hundred five billion, sixty-four million, six hundred fifty-two thousand, six hundred thirteen".