541732800625 has 45 divisors (see below), whose sum is σ = 690000255021. Its totient is φ = 425186922000.

The previous prime is 541732800611. The next prime is 541732800643. The reversal of 541732800625 is 526008237145.

The square root of 541732800625 is 736025.

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

It can be written as a sum of positive squares in 2 ways, for example, as 42471851569 + 499260949056 = 206087^2 + 706584^2 .

It is not a de Polignac number, because 541732800625 - 2¹⁵ = 541732767857 is a prime.

It is a Duffinian number.

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, 1085636626 + ... + 1085637124.

Almost surely, 2^541732800625 is an apocalyptic number.

541732800625 is the 736025-th square number.

541732800625 is the 368013-rd centered octagonal number.

It is an amenable number.

541732800625 is a deficient number, since it is larger than the sum of its proper divisors (148267454396).

541732800625 is an frugal number, since it uses more digits than its factorization.

541732800625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 541732800625 in words is "five hundred forty-one billion, seven hundred thirty-two million, eight hundred thousand, six hundred twenty-five".