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414935561 is a prime number
BaseRepresentation
bin11000101110110…
…110101000001001
31001220202220120202
4120232312220021
51322210414221
6105101301545
713165615445
oct3056665011
91056686522
10414935561
111a3247257
12b6b648b5
1367c70801
143d171825
1526663d0b
hex18bb6a09

414935561 has 2 divisors, whose sum is σ = 414935562. Its totient is φ = 414935560.

The previous prime is 414935551. The next prime is 414935579. The reversal of 414935561 is 165539414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 384905161 + 30030400 = 19619^2 + 5480^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-414935561 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p22089593 and since 414935561 and 22089593 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (414935551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207467780 + 207467781.

It is an arithmetic number, because the mean of its divisors is an integer number (207467781).

Almost surely, 2414935561 is an apocalyptic number.

It is an amenable number.

414935561 is a deficient number, since it is larger than the sum of its proper divisors (1).

414935561 is an equidigital number, since it uses as much as digits as its factorization.

414935561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 64800, while the sum is 38.

The square root of 414935561 is about 20369.9671330123. The cubic root of 414935561 is about 745.8649839389.

The spelling of 414935561 in words is "four hundred fourteen million, nine hundred thirty-five thousand, five hundred sixty-one".