171521879104 has 21 divisors (see below), whose sum is σ = 340370303637. Its totient is φ = 85759282944.

The previous prime is 171521879093. The next prime is 171521879129. The reversal of 171521879104 is 401978125171.

The square root of 171521879104 is 414152.

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., 97189309504 + 74332569600 = 311752^2 + 272640^2 .

It is a super-2 number, since 2×171521879104² (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 2 ways as a sum of consecutive naturals, for example, 3287332 + ... + 3339100.

It is an arithmetic number, because the mean of its divisors is an integer number (16208109697).

Almost surely, 2^171521879104 is an apocalyptic number.

171521879104 is the 414152-nd square number.

It is an amenable number.

171521879104 is a deficient number, since it is larger than the sum of its proper divisors (168848424533).

171521879104 is an frugal number, since it uses more digits than its factorization.

171521879104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103550 (or 51771 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 46.

It can be divided in two parts, 171521 and 879104, that added together give a square (1050625 = 1025²).

The spelling of 171521879104 in words is "one hundred seventy-one billion, five hundred twenty-one million, eight hundred seventy-nine thousand, one hundred four".