Search a number
-
+
540527753 is a prime number
BaseRepresentation
bin100000001101111…
…100110010001001
31101200002122200102
4200031330302021
52101333342003
6125345215145
716252260443
oct4015746211
91350078612
10540527753
11258128557
121310314b5
1387ca4c0c
1451b05493
15326c1588
hex2037cc89

540527753 has 2 divisors, whose sum is σ = 540527754. Its totient is φ = 540527752.

The previous prime is 540527711. The next prime is 540527803. The reversal of 540527753 is 357725045.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 353740864 + 186786889 = 18808^2 + 13667^2 .

It is a cyclic number.

It is not a de Polignac number, because 540527753 - 216 = 540462217 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (540527653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270263876 + 270263877.

It is an arithmetic number, because the mean of its divisors is an integer number (270263877).

Almost surely, 2540527753 is an apocalyptic number.

It is an amenable number.

540527753 is a deficient number, since it is larger than the sum of its proper divisors (1).

540527753 is an equidigital number, since it uses as much as digits as its factorization.

540527753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147000, while the sum is 38.

The square root of 540527753 is about 23249.2527406796. The cubic root of 540527753 is about 814.5904841654.

The spelling of 540527753 in words is "five hundred forty million, five hundred twenty-seven thousand, seven hundred fifty-three".