10509085875 has 32 divisors (see below), whose sum is σ = 17498505024. Its totient is φ = 5601196800.

The previous prime is 10509085861. The next prime is 10509085879. The reversal of 10509085875 is 57858090501.

It is not a de Polignac number, because 10509085875 - 2⁷ = 10509085747 is a prime.

It is a super-2 number, since 2×10509085875² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10509085879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626599 + ... + 643151.

It is an arithmetic number, because the mean of its divisors is an integer number (546828282).

Almost surely, 2^10509085875 is an apocalyptic number.

10509085875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10509085875 is a deficient number, since it is larger than the sum of its proper divisors (6989419149).

10509085875 is a wasteful number, since it uses less digits than its factorization.

10509085875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18264 (or 18254 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 48.

The spelling of 10509085875 in words is "ten billion, five hundred nine million, eighty-five thousand, eight hundred seventy-five".