617200355641 has 27 divisors (see below), whose sum is σ = 674380808199. Its totient is φ = 564742084608.

The previous prime is 617200355623. The next prime is 617200355647. The reversal of 617200355641 is 146553002716.

The square root of 617200355641 is 785621.

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

It can be written as a sum of positive squares in 13 ways, for example, as 9767171241 + 607433184400 = 98829^2 + 779380^2 .

It is not a de Polignac number, because 617200355641 - 2¹¹ = 617200353593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 617200355594 and 617200355603.

It is not an unprimeable number, because it can be changed into a prime (617200355647) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 494154985 + ... + 494156233.

Almost surely, 2^617200355641 is an apocalyptic number.

617200355641 is the 785621-st square number.

617200355641 is the 392811-st centered octagonal number.

It is an amenable number.

617200355641 is a deficient number, since it is larger than the sum of its proper divisors (57180452558).

617200355641 is an frugal number, since it uses more digits than its factorization.

617200355641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 617200355641 in words is "six hundred seventeen billion, two hundred million, three hundred fifty-five thousand, six hundred forty-one".