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5760085313 is a prime number
BaseRepresentation
bin1010101110101001…
…11110110101000001
3112212102121122121002
411113110332311001
543244040212223
62351322341345
7262511626433
oct52724766501
915772548532
105760085313
112496466394
12114905a855
1370a477a08
143c8dda653
1523aa46e28
hex15753ed41

5760085313 has 2 divisors, whose sum is σ = 5760085314. Its totient is φ = 5760085312.

The previous prime is 5760085283. The next prime is 5760085439. The reversal of 5760085313 is 3135800675.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4952218384 + 807866929 = 70372^2 + 28423^2 .

It is a cyclic number.

It is not a de Polignac number, because 5760085313 - 26 = 5760085249 is a prime.

It is a super-3 number, since 3×57600853133 (a number of 30 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (5760087313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2880042656 + 2880042657.

It is an arithmetic number, because the mean of its divisors is an integer number (2880042657).

Almost surely, 25760085313 is an apocalyptic number.

It is an amenable number.

5760085313 is a deficient number, since it is larger than the sum of its proper divisors (1).

5760085313 is an equidigital number, since it uses as much as digits as its factorization.

5760085313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 5760085313 is about 75895.2258906975. The cubic root of 5760085313 is about 1792.5707486274.

Adding to 5760085313 its reverse (3135800675), we get a palindrome (8895885988).

The spelling of 5760085313 in words is "five billion, seven hundred sixty million, eighty-five thousand, three hundred thirteen".