10117252845 has 48 divisors (see below), whose sum is σ = 20688325632. Its totient is φ = 4475831040.

The previous prime is 10117252841. The next prime is 10117252877. The reversal of 10117252845 is 54825271101.

It is a happy number.

10117252845 is a `hidden beast` number, since 10 + 11 + 72 + 528 + 45 = 666.

It is not a de Polignac number, because 10117252845 - 2² = 10117252841 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117252841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508272 + ... + 527801.

It is an arithmetic number, because the mean of its divisors is an integer number (431006784).

Almost surely, 2^10117252845 is an apocalyptic number.

10117252845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10117252845 is an abundant number, since it is smaller than the sum of its proper divisors (10571072787).

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

10117252845 is a wasteful number, since it uses less digits than its factorization.

10117252845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036122 (or 1036119 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 10117252845 in words is "ten billion, one hundred seventeen million, two hundred fifty-two thousand, eight hundred forty-five".