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541605377 is a prime number
BaseRepresentation
bin100000010010000…
…011111000000001
31101202010101220102
4200102003320001
52102122333002
6125424252145
716264366265
oct4022037001
91352111812
10541605377
112587a4155
12131471055
1388291571
1451d060a5
1532835a02
hex20483e01

541605377 has 2 divisors, whose sum is σ = 541605378. Its totient is φ = 541605376.

The previous prime is 541605353. The next prime is 541605401. The reversal of 541605377 is 773506145.

It is a balanced prime because it is at equal distance from previous prime (541605353) and next prime (541605401).

It can be written as a sum of positive squares in only one way, i.e., 431019121 + 110586256 = 20761^2 + 10516^2 .

It is a cyclic number.

It is not a de Polignac number, because 541605377 - 26 = 541605313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 541605377.

It is not a weakly prime, because it can be changed into another prime (541605877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270802688 + 270802689.

It is an arithmetic number, because the mean of its divisors is an integer number (270802689).

Almost surely, 2541605377 is an apocalyptic number.

It is an amenable number.

541605377 is a deficient number, since it is larger than the sum of its proper divisors (1).

541605377 is an equidigital number, since it uses as much as digits as its factorization.

541605377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 541605377 is about 23272.4166557751. The cubic root of 541605377 is about 815.1314613487.

The spelling of 541605377 in words is "five hundred forty-one million, six hundred five thousand, three hundred seventy-seven".