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57138021077 is a prime number
BaseRepresentation
bin110101001101101100…
…010000001011010101
312110111001021012201212
4311031230100023111
51414004313133302
642125430031205
74061635110554
oct651554201325
9173431235655
1057138021077
1122260a17a25
12b0a74a8505
13550783c337
142aa0737d9b
151746374052
hexd4db102d5

57138021077 has 2 divisors, whose sum is σ = 57138021078. Its totient is φ = 57138021076.

The previous prime is 57138021053. The next prime is 57138021103. The reversal of 57138021077 is 77012083175.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55248032401 + 1889988676 = 235049^2 + 43474^2 .

It is a cyclic number.

It is not a de Polignac number, because 57138021077 - 26 = 57138021013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57138021277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28569010538 + 28569010539.

It is an arithmetic number, because the mean of its divisors is an integer number (28569010539).

Almost surely, 257138021077 is an apocalyptic number.

It is an amenable number.

57138021077 is a deficient number, since it is larger than the sum of its proper divisors (1).

57138021077 is an equidigital number, since it uses as much as digits as its factorization.

57138021077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82320, while the sum is 41.

The spelling of 57138021077 in words is "fifty-seven billion, one hundred thirty-eight million, twenty-one thousand, seventy-seven".