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579712961 is a prime number
BaseRepresentation
bin100010100011011…
…011011111000001
31111101211110200102
4202203123133001
52141401303321
6133305132145
720236323152
oct4243333701
91441743612
10579712961
11278261a23
1214218a055
1393144929
1456dc5929
1535d61c0b
hex228db7c1

579712961 has 2 divisors, whose sum is σ = 579712962. Its totient is φ = 579712960.

The previous prime is 579712949. The next prime is 579712967. The reversal of 579712961 is 169217975.

579712961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 427042225 + 152670736 = 20665^2 + 12356^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-579712961 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (579712967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 289856480 + 289856481.

It is an arithmetic number, because the mean of its divisors is an integer number (289856481).

Almost surely, 2579712961 is an apocalyptic number.

It is an amenable number.

579712961 is a deficient number, since it is larger than the sum of its proper divisors (1).

579712961 is an equidigital number, since it uses as much as digits as its factorization.

579712961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 238140, while the sum is 47.

The square root of 579712961 is about 24077.2290972196. The cubic root of 579712961 is about 833.8174954855.

The spelling of 579712961 in words is "five hundred seventy-nine million, seven hundred twelve thousand, nine hundred sixty-one".