Search a number
-
+
564696541 is a prime number
BaseRepresentation
bin100001101010001…
…001010111011101
31110100120120000201
4201222021113131
52124030242131
6132011223501
716664561413
oct4152112735
91410516021
10564696541
1126a835962
12139147b91
138ccb7986
1454dd72b3
1534897761
hex21a895dd

564696541 has 2 divisors, whose sum is σ = 564696542. Its totient is φ = 564696540.

The previous prime is 564696487. The next prime is 564696563. The reversal of 564696541 is 145696465.

564696541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 324756441 + 239940100 = 18021^2 + 15490^2 .

It is a cyclic number.

It is not a de Polignac number, because 564696541 - 215 = 564663773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 564696491 and 564696500.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (564696641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282348270 + 282348271.

It is an arithmetic number, because the mean of its divisors is an integer number (282348271).

Almost surely, 2564696541 is an apocalyptic number.

It is an amenable number.

564696541 is a deficient number, since it is larger than the sum of its proper divisors (1).

564696541 is an equidigital number, since it uses as much as digits as its factorization.

564696541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 777600, while the sum is 46.

The square root of 564696541 is about 23763.3444826270. The cubic root of 564696541 is about 826.5549082754.

The spelling of 564696541 in words is "five hundred sixty-four million, six hundred ninety-six thousand, five hundred forty-one".