10404024260513 has 128 divisors (see below), whose sum is σ = 12571556659200. Its totient is φ = 8518564454400.

The previous prime is 10404024260507. The next prime is 10404024260551. The reversal of 10404024260513 is 31506242040401.

It is not a de Polignac number, because 10404024260513 - 2⁸ = 10404024260257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10404024260513.

It is not an unprimeable number, because it can be changed into a prime (10404024260713) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24830606618 + ... + 24830607036.

It is an arithmetic number, because the mean of its divisors is an integer number (98215286400).

Almost surely, 2^{10404024260513} is an apocalyptic number.

10404024260513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10404024260513 is a deficient number, since it is larger than the sum of its proper divisors (2167532398687).

10404024260513 is a wasteful number, since it uses less digits than its factorization.

10404024260513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063.

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 10404024260513 in words is "ten trillion, four hundred four billion, twenty-four million, two hundred sixty thousand, five hundred thirteen".