Search a number
-
+
540540613 is a prime number
BaseRepresentation
bin100000001101111…
…111111011000101
31101200010022022201
4200031333323011
52101334244423
6125345354501
716252343104
oct4015777305
91350108281
10540540613
11258137188
12131038a31
1387caaa22
1451b0a03b
15326c52ad
hex2037fec5

540540613 has 2 divisors, whose sum is σ = 540540614. Its totient is φ = 540540612.

The previous prime is 540540593. The next prime is 540540629. The reversal of 540540613 is 316045045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 307581444 + 232959169 = 17538^2 + 15263^2 .

It is a cyclic number.

It is not a de Polignac number, because 540540613 - 221 = 538443461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540540643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270270306 + 270270307.

It is an arithmetic number, because the mean of its divisors is an integer number (270270307).

Almost surely, 2540540613 is an apocalyptic number.

It is an amenable number.

540540613 is a deficient number, since it is larger than the sum of its proper divisors (1).

540540613 is an equidigital number, since it uses as much as digits as its factorization.

540540613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 540540613 is about 23249.5293070634. The cubic root of 540540613 is about 814.5969442411.

Adding to 540540613 its reverse (316045045), we get a palindrome (856585658).

The spelling of 540540613 in words is "five hundred forty million, five hundred forty thousand, six hundred thirteen".