543721890625 has 63 divisors (see below), whose sum is σ = 724061024869. Its totient is φ = 408210800000.

The previous prime is 543721890559. The next prime is 543721890653. The reversal of 543721890625 is 526098127345.

The square root of 543721890625 is 737375.

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

It can be written as a sum of positive squares in 10 ways, for example, as 534549614641 + 9172275984 = 731129^2 + 95772^2 .

It is not a de Polignac number, because 543721890625 - 2⁹ = 543721890113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 1566921702 + ... + 1566922048.

It is a 1-persistent number, because it is pandigital, but 2⋅543721890625 = 1087443781250 is not.

Almost surely, 2^543721890625 is an apocalyptic number.

543721890625 is the 737375-th square number.

543721890625 is the 368688-th centered octagonal number.

It is an amenable number.

543721890625 is a deficient number, since it is larger than the sum of its proper divisors (180339134244).

543721890625 is an frugal number, since it uses more digits than its factorization.

543721890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 543721890625 in words is "five hundred forty-three billion, seven hundred twenty-one million, eight hundred ninety thousand, six hundred twenty-five".