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540097381 is a prime number
BaseRepresentation
bin100000001100010…
…011101101100101
31101122021210022201
4200030103231211
52101231104011
6125332054501
716245515635
oct4014235545
91348253281
10540097381
1125796417a
12130a64431
1387b84065
1451a326c5
1532638cc1
hex20313b65

540097381 has 2 divisors, whose sum is σ = 540097382. Its totient is φ = 540097380.

The previous prime is 540097379. The next prime is 540097423. The reversal of 540097381 is 183790045.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 313113025 + 226984356 = 17695^2 + 15066^2 .

It is a cyclic number.

It is not a de Polignac number, because 540097381 - 21 = 540097379 is a prime.

It is a super-2 number, since 2×5400973812 = 583410361926118322, which contains 22 as substring.

Together with 540097379, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 540097381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540097321) 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, 270048690 + 270048691.

It is an arithmetic number, because the mean of its divisors is an integer number (270048691).

Almost surely, 2540097381 is an apocalyptic number.

It is an amenable number.

540097381 is a deficient number, since it is larger than the sum of its proper divisors (1).

540097381 is an equidigital number, since it uses as much as digits as its factorization.

540097381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 540097381 is about 23239.9952882956. The cubic root of 540097381 is about 814.3742325366.

The spelling of 540097381 in words is "five hundred forty million, ninety-seven thousand, three hundred eighty-one".