10405315633 has 16 divisors (see below), whose sum is σ = 10859120640. Its totient is φ = 9959443200.

The previous prime is 10405315619. The next prime is 10405315649. The reversal of 10405315633 is 33651350401.

It is a cyclic number.

It is not a de Polignac number, because 10405315633 - 2⁵ = 10405315601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10405315595 and 10405315604.

It is not an unprimeable number, because it can be changed into a prime (10405315603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189048 + ... + 1197766.

It is an arithmetic number, because the mean of its divisors is an integer number (678695040).

Almost surely, 2^10405315633 is an apocalyptic number.

It is an amenable number.

10405315633 is a deficient number, since it is larger than the sum of its proper divisors (453805007).

10405315633 is a wasteful number, since it uses less digits than its factorization.

10405315633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9168.

The product of its (nonzero) digits is 16200, while the sum is 31.

The spelling of 10405315633 in words is "ten billion, four hundred five million, three hundred fifteen thousand, six hundred thirty-three".