159983919825625 has 45 divisors (see below), whose sum is σ = 232558455440619. Its totient is φ = 109701741492000.

The previous prime is 159983919825577. The next prime is 159983919825659. The reversal of 159983919825625 is 526528919389951.

The square root of 159983919825625 is 12648475.

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

It can be written as a sum of positive squares in 7 ways, for example, as 47309346356041 + 112674573469584 = 6878179^2 + 10614828^2 .

It is not a de Polignac number, because 159983919825625 - 2¹¹ = 159983919823577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2213446987 + ... + 2213519263.

Almost surely, 2^{159983919825625} is an apocalyptic number.

159983919825625 is the 12648475-th square number.

159983919825625 is the 6324238-th centered octagonal number.

It is an amenable number.

159983919825625 is a deficient number, since it is larger than the sum of its proper divisors (72574535614994).

159983919825625 is an frugal number, since it uses more digits than its factorization.

159983919825625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144588 (or 72289 counting only the distinct ones).

The product of its digits is 3779136000, while the sum is 82.

The spelling of 159983919825625 in words is "one hundred fifty-nine trillion, nine hundred eighty-three billion, nine hundred nineteen million, eight hundred twenty-five thousand, six hundred twenty-five".