Search a number
-
+
541608629 is a prime number
BaseRepresentation
bin100000010010000…
…100101010110101
31101202010120100212
4200102010222311
52102122434004
6125424315205
716264411622
oct4022045265
91352116325
10541608629
112587a6641
12131472b05
1388292ba3
1451d07349
153283696e
hex20484ab5

541608629 has 2 divisors, whose sum is σ = 541608630. Its totient is φ = 541608628.

The previous prime is 541608601. The next prime is 541608649. The reversal of 541608629 is 926806145.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 540795025 + 813604 = 23255^2 + 902^2 .

It is a cyclic number.

It is not a de Polignac number, because 541608629 - 212 = 541604533 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (541608649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270804314 + 270804315.

It is an arithmetic number, because the mean of its divisors is an integer number (270804315).

Almost surely, 2541608629 is an apocalyptic number.

It is an amenable number.

541608629 is a deficient number, since it is larger than the sum of its proper divisors (1).

541608629 is an equidigital number, since it uses as much as digits as its factorization.

541608629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 541608629 is about 23272.4865237903. The cubic root of 541608629 is about 815.1330927962.

The spelling of 541608629 in words is "five hundred forty-one million, six hundred eight thousand, six hundred twenty-nine".