Search a number
-
+
564430321541 is a prime number
BaseRepresentation
bin10000011011010101010…
…10110011011110000101
31222221220010020011121202
420031222222303132011
533221423130242131
61111143512352245
755531052400362
oct10155252633605
91887803204552
10564430321541
111a8412224719
12914826a5685
13412c16c63a8
141d466245469
15ea372adbcb
hex836aab3785

564430321541 has 2 divisors, whose sum is σ = 564430321542. Its totient is φ = 564430321540.

The previous prime is 564430321531. The next prime is 564430321571. The reversal of 564430321541 is 145123034465.

564430321541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 439641933025 + 124788388516 = 663055^2 + 353254^2 .

It is a cyclic number.

It is not a de Polignac number, because 564430321541 - 214 = 564430305157 is a prime.

It is a super-2 number, since 2×5644303215412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 564430321495 and 564430321504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (564430321501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282215160770 + 282215160771.

It is an arithmetic number, because the mean of its divisors is an integer number (282215160771).

Almost surely, 2564430321541 is an apocalyptic number.

It is an amenable number.

564430321541 is a deficient number, since it is larger than the sum of its proper divisors (1).

564430321541 is an equidigital number, since it uses as much as digits as its factorization.

564430321541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 564430321541 in words is "five hundred sixty-four billion, four hundred thirty million, three hundred twenty-one thousand, five hundred forty-one".