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505633561 is a prime number
BaseRepresentation
bin11110001000110…
…101101100011001
31022020102211211221
4132020311230121
52013420233221
6122101252041
715346546216
oct3610655431
91266384757
10505633561
1123a464a84
12121404021
13809a8374
144b220b0d
152e5cc541
hex1e235b19

505633561 has 2 divisors, whose sum is σ = 505633562. Its totient is φ = 505633560.

The previous prime is 505633519. The next prime is 505633571. The reversal of 505633561 is 165336505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 408807961 + 96825600 = 20219^2 + 9840^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-505633561 is a prime.

It is not a weakly prime, because it can be changed into another prime (505633571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252816780 + 252816781.

It is an arithmetic number, because the mean of its divisors is an integer number (252816781).

Almost surely, 2505633561 is an apocalyptic number.

It is an amenable number.

505633561 is a deficient number, since it is larger than the sum of its proper divisors (1).

505633561 is an equidigital number, since it uses as much as digits as its factorization.

505633561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40500, while the sum is 34.

The square root of 505633561 is about 22486.2971829512. The cubic root of 505633561 is about 796.6703070119.

The spelling of 505633561 in words is "five hundred five million, six hundred thirty-three thousand, five hundred sixty-one".