10556417313 has 64 divisors (see below), whose sum is σ = 17293785600. Its totient is φ = 6322821120.

The previous prime is 10556417299. The next prime is 10556417327. The reversal of 10556417313 is 31371465501.

10556417313 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 641 + 7 + 3 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (10556417299) and next prime (10556417327).

It is not a de Polignac number, because 10556417313 - 2¹⁰ = 10556416289 is a prime.

It is a super-2 number, since 2×10556417313² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10556417363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10461753 + ... + 10462761.

It is an arithmetic number, because the mean of its divisors is an integer number (270215400).

Almost surely, 2^10556417313 is an apocalyptic number.

10556417313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10556417313 is a deficient number, since it is larger than the sum of its proper divisors (6737368287).

10556417313 is a wasteful number, since it uses less digits than its factorization.

10556417313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 10556417313 in words is "ten billion, five hundred fifty-six million, four hundred seventeen thousand, three hundred thirteen".