10005504313315 has 16 divisors (see below), whose sum is σ = 14092694880192. Its totient is φ = 6675487046784.

The previous prime is 10005504313309. The next prime is 10005504313339. The reversal of 10005504313315 is 51331340550001.

It is not a de Polignac number, because 10005504313315 - 2⁵ = 10005504313283 is a prime.

It is a super-2 number, since 2×10005504313315² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3863127784 + ... + 3863130373.

It is an arithmetic number, because the mean of its divisors is an integer number (880793430012).

Almost surely, 2^{10005504313315} is an apocalyptic number.

10005504313315 is a deficient number, since it is larger than the sum of its proper divisors (4087190566877).

10005504313315 is an equidigital number, since it uses as much as digits as its factorization.

10005504313315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7726258206.

The product of its (nonzero) digits is 13500, while the sum is 31.

Adding to 10005504313315 its reverse (51331340550001), we get a palindrome (61336844863316).

The spelling of 10005504313315 in words is "ten trillion, five billion, five hundred four million, three hundred thirteen thousand, three hundred fifteen".