175085100001 has 16 divisors (see below), whose sum is σ = 203401346560. Its totient is φ = 147595452480.

The previous prime is 175085099957. The next prime is 175085100017. The reversal of 175085100001 is 100001580571.

175085100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 175085100001 - 2¹⁵ = 175085067233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (175085100101) 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 15 ways as a sum of consecutive naturals, for example, 4729375 + ... + 4766251.

It is an arithmetic number, because the mean of its divisors is an integer number (12712584160).

Almost surely, 2^175085100001 is an apocalyptic number.

It is an amenable number.

175085100001 is a deficient number, since it is larger than the sum of its proper divisors (28316246559).

175085100001 is a wasteful number, since it uses less digits than its factorization.

175085100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48064.

The product of its (nonzero) digits is 1400, while the sum is 28.

Adding to 175085100001 its reverse (100001580571), we get a palindrome (275086680572).

The spelling of 175085100001 in words is "one hundred seventy-five billion, eighty-five million, one hundred thousand, one".