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578085377 is a prime number
BaseRepresentation
bin100010011101001…
…110001000000001
31111021202210001112
4202131032020001
52140442213002
6133210213105
720216434052
oct4235161001
91437683045
10578085377
11277350111
12141724195
13929c4b6c
1456ac0729
1535b3e852
hex2274e201

578085377 has 2 divisors, whose sum is σ = 578085378. Its totient is φ = 578085376.

The previous prime is 578085367. The next prime is 578085407. The reversal of 578085377 is 773580875.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 511483456 + 66601921 = 22616^2 + 8161^2 .

It is a cyclic number.

It is not a de Polignac number, because 578085377 - 214 = 578068993 is a prime.

It is a super-3 number, since 3×5780853773 (a number of 27 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (578085307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 289042688 + 289042689.

It is an arithmetic number, because the mean of its divisors is an integer number (289042689).

Almost surely, 2578085377 is an apocalyptic number.

It is an amenable number.

578085377 is a deficient number, since it is larger than the sum of its proper divisors (1).

578085377 is an equidigital number, since it uses as much as digits as its factorization.

578085377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1646400, while the sum is 50.

The square root of 578085377 is about 24043.4061022976. The cubic root of 578085377 is about 833.0364307467.

The spelling of 578085377 in words is "five hundred seventy-eight million, eighty-five thousand, three hundred seventy-seven".