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57145684313 is a prime number
BaseRepresentation
bin110101001110001001…
…011111000101011001
312110111120200112201102
4311032021133011121
51414013243344223
642130302201145
74062060205424
oct651611370531
9173446615642
1057145684313
1122265281483
12b0a9b831b5
1355092c33b3
142aa17709bb
151746d89928
hexd4e25f159

57145684313 has 2 divisors, whose sum is σ = 57145684314. Its totient is φ = 57145684312.

The previous prime is 57145684249. The next prime is 57145684403. The reversal of 57145684313 is 31348654175.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55910021209 + 1235663104 = 236453^2 + 35152^2 .

It is a cyclic number.

It is not a de Polignac number, because 57145684313 - 26 = 57145684249 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (57145680313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28572842156 + 28572842157.

It is an arithmetic number, because the mean of its divisors is an integer number (28572842157).

Almost surely, 257145684313 is an apocalyptic number.

It is an amenable number.

57145684313 is a deficient number, since it is larger than the sum of its proper divisors (1).

57145684313 is an equidigital number, since it uses as much as digits as its factorization.

57145684313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1209600, while the sum is 47.

The spelling of 57145684313 in words is "fifty-seven billion, one hundred forty-five million, six hundred eighty-four thousand, three hundred thirteen".