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57001313 is a prime number
BaseRepresentation
bin1101100101110…
…0010101100001
310222020222002202
43121130111201
5104043020223
65353422545
71261334405
oct331342541
9128228082
1057001313
112a1a2a26
121710aa55
13ba6a0b5
1477db105
15500e428
hex365c561

57001313 has 2 divisors, whose sum is σ = 57001314. Its totient is φ = 57001312.

The previous prime is 57001309. The next prime is 57001363. The reversal of 57001313 is 31310075.

It is a happy number.

57001313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54878464 + 2122849 = 7408^2 + 1457^2 .

It is a cyclic number.

It is not a de Polignac number, because 57001313 - 22 = 57001309 is a prime.

It is not a weakly prime, because it can be changed into another prime (57001303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28500656 + 28500657.

It is an arithmetic number, because the mean of its divisors is an integer number (28500657).

Almost surely, 257001313 is an apocalyptic number.

It is an amenable number.

57001313 is a deficient number, since it is larger than the sum of its proper divisors (1).

57001313 is an equidigital number, since it uses as much as digits as its factorization.

57001313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 20.

The square root of 57001313 is about 7549.9213903192. The cubic root of 57001313 is about 384.8530681237.

Adding to 57001313 its reverse (31310075), we get a palindrome (88311388).

The spelling of 57001313 in words is "fifty-seven million, one thousand, three hundred thirteen".