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57122810081 is a prime number
BaseRepresentation
bin110101001100110010…
…001110100011100001
312110102222122102011122
4311030302032203201
51413441414410311
642124124022025
74061361605621
oct651462164341
9173388572148
1057122810081
1122253378757
12b0a2391915
13550464494c
142a9c6d8881
151744d6c0db
hexd4cc8e8e1

57122810081 has 2 divisors, whose sum is σ = 57122810082. Its totient is φ = 57122810080.

The previous prime is 57122810071. The next prime is 57122810123. The reversal of 57122810081 is 18001822175.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35648838481 + 21473971600 = 188809^2 + 146540^2 .

It is a cyclic number.

It is not a de Polignac number, because 57122810081 - 210 = 57122809057 is a prime.

It is a super-2 number, since 2×571228100812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (57122810071) 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, 28561405040 + 28561405041.

It is an arithmetic number, because the mean of its divisors is an integer number (28561405041).

Almost surely, 257122810081 is an apocalyptic number.

It is an amenable number.

57122810081 is a deficient number, since it is larger than the sum of its proper divisors (1).

57122810081 is an equidigital number, since it uses as much as digits as its factorization.

57122810081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8960, while the sum is 35.

The spelling of 57122810081 in words is "fifty-seven billion, one hundred twenty-two million, eight hundred ten thousand, eighty-one".