Search a number
-
+
541601993 is a prime number
BaseRepresentation
bin100000010010000…
…011000011001001
31101202010020021002
4200102003003021
52102122230433
6125424224345
716264353362
oct4022030311
91352106232
10541601993
112587a1659
1213146b0b5
138828cb6a
1451d04b69
15328349e8
hex204830c9

541601993 has 2 divisors, whose sum is σ = 541601994. Its totient is φ = 541601992.

The previous prime is 541601989. The next prime is 541602001. The reversal of 541601993 is 399106145.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 495863824 + 45738169 = 22268^2 + 6763^2 .

It is a cyclic number.

It is not a de Polignac number, because 541601993 - 22 = 541601989 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (541601933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270800996 + 270800997.

It is an arithmetic number, because the mean of its divisors is an integer number (270800997).

Almost surely, 2541601993 is an apocalyptic number.

It is an amenable number.

541601993 is a deficient number, since it is larger than the sum of its proper divisors (1).

541601993 is an equidigital number, since it uses as much as digits as its factorization.

541601993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 541601993 is about 23272.3439515662. The cubic root of 541601993 is about 815.1297636732.

The spelling of 541601993 in words is "five hundred forty-one million, six hundred one thousand, nine hundred ninety-three".