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509441344729 is a prime number
BaseRepresentation
bin1110110100111010001…
…00100000010011011001
31210200221211202201101221
413122131010200103121
531321313441012404
61030011212012041
751543300660622
oct7323504402331
91720854681357
10509441344729
111870643a3539
1282896a61021
133906a1872a5
141a92b0c2a49
15d3b993d954
hex769d1204d9

509441344729 has 2 divisors, whose sum is σ = 509441344730. Its totient is φ = 509441344728.

The previous prime is 509441344721. The next prime is 509441344747. The reversal of 509441344729 is 927443144905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 400844733129 + 108596611600 = 633123^2 + 329540^2 .

It is a cyclic number.

It is not a de Polignac number, because 509441344729 - 23 = 509441344721 is a prime.

It is not a weakly prime, because it can be changed into another prime (509441344721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254720672364 + 254720672365.

It is an arithmetic number, because the mean of its divisors is an integer number (254720672365).

Almost surely, 2509441344729 is an apocalyptic number.

It is an amenable number.

509441344729 is a deficient number, since it is larger than the sum of its proper divisors (1).

509441344729 is an equidigital number, since it uses as much as digits as its factorization.

509441344729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 509441344729 in words is "five hundred nine billion, four hundred forty-one million, three hundred forty-four thousand, seven hundred twenty-nine".