10517775138 has 48 divisors (see below), whose sum is σ = 24887169216. Its totient is φ = 3190652640.

The previous prime is 10517775137. The next prime is 10517775167. The reversal of 10517775138 is 83157771501.

10517775138 is a `hidden beast` number, since 10 + 51 + 7 + 77 + 513 + 8 = 666.

It is a super-2 number, since 2×10517775138² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10517775093 and 10517775102.

It is not an unprimeable number, because it can be changed into a prime (10517775137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299920 + ... + 333147.

It is an arithmetic number, because the mean of its divisors is an integer number (518482692).

Almost surely, 2^10517775138 is an apocalyptic number.

10517775138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10517775138 is an abundant number, since it is smaller than the sum of its proper divisors (14369394078).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10517775138 is a wasteful number, since it uses less digits than its factorization.

10517775138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633159 (or 633156 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 45.

The spelling of 10517775138 in words is "ten billion, five hundred seventeen million, seven hundred seventy-five thousand, one hundred thirty-eight".