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57953919521 is a prime number
BaseRepresentation
bin110101111110010100…
…101010001000100001
312112120220112010222202
4311332110222020201
51422142200411041
642342413342545
74121103121331
oct657624521041
9175526463882
1057953919521
112263a527563
12b294797a55
13560789a794
142b3ac410c1
151792cdba9b
hexd7e52a221

57953919521 has 2 divisors, whose sum is σ = 57953919522. Its totient is φ = 57953919520.

The previous prime is 57953919511. The next prime is 57953919577. The reversal of 57953919521 is 12591935975.

It is an a-pointer prime, because the next prime (57953919577) can be obtained adding 57953919521 to its sum of digits (56).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41986059025 + 15967860496 = 204905^2 + 126364^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57953919521 is a prime.

It is not a weakly prime, because it can be changed into another prime (57953919511) 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, 28976959760 + 28976959761.

It is an arithmetic number, because the mean of its divisors is an integer number (28976959761).

Almost surely, 257953919521 is an apocalyptic number.

It is an amenable number.

57953919521 is a deficient number, since it is larger than the sum of its proper divisors (1).

57953919521 is an equidigital number, since it uses as much as digits as its factorization.

57953919521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3827250, while the sum is 56.

The spelling of 57953919521 in words is "fifty-seven billion, nine hundred fifty-three million, nine hundred nineteen thousand, five hundred twenty-one".