10117828257 has 16 divisors (see below), whose sum is σ = 13811711232. Its totient is φ = 6586197120.

The previous prime is 10117828249. The next prime is 10117828277. The reversal of 10117828257 is 75282871101.

It is a happy number.

It is not a de Polignac number, because 10117828257 - 2³ = 10117828249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10117828247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176713 + ... + 226854.

It is an arithmetic number, because the mean of its divisors is an integer number (863231952).

Almost surely, 2^10117828257 is an apocalyptic number.

It is an amenable number.

10117828257 is a deficient number, since it is larger than the sum of its proper divisors (3693882975).

10117828257 is a wasteful number, since it uses less digits than its factorization.

10117828257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403768.

The product of its (nonzero) digits is 62720, while the sum is 42.

The spelling of 10117828257 in words is "ten billion, one hundred seventeen million, eight hundred twenty-eight thousand, two hundred fifty-seven".