175385064100 has 27 divisors (see below), whose sum is σ = 380594677057. Its totient is φ = 70152350480.

The previous prime is 175385063989. The next prime is 175385064161. The reversal of 175385064100 is 1460583571.

It is a happy number.

The square root of 175385064100 is 418790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 63138623076 + 112246441024 = 251274^2 + 335032^2 .

It is a super-2 number, since 2×175385064100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4166961 + ... + 4208839.

Almost surely, 2^175385064100 is an apocalyptic number.

175385064100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

175385064100 is the 418790-th square number.

It is an amenable number.

175385064100 is an abundant number, since it is smaller than the sum of its proper divisors (205209612957).

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

175385064100 is an frugal number, since it uses more digits than its factorization.

175385064100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83772 (or 41886 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 175385064100 in words is "one hundred seventy-five billion, three hundred eighty-five million, sixty-four thousand, one hundred".