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57901157953 is a prime number
BaseRepresentation
bin110101111011001011…
…011000111001000001
312112110020020120201121
4311323023120321001
51422040144023303
642333250432241
74116562502452
oct657313307101
9175406216647
1057901157953
112261276aa61
12b27ab92681
1355c9986412
142b33c29129
15178d3689bd
hexd7b2d8e41

57901157953 has 2 divisors, whose sum is σ = 57901157954. Its totient is φ = 57901157952.

The previous prime is 57901157947. The next prime is 57901157969. The reversal of 57901157953 is 35975110975.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33903120384 + 23998037569 = 184128^2 + 154913^2 .

It is a cyclic number.

It is not a de Polignac number, because 57901157953 - 233 = 49311223361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57901157953.

It is not a weakly prime, because it can be changed into another prime (57901151953) 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, 28950578976 + 28950578977.

It is an arithmetic number, because the mean of its divisors is an integer number (28950578977).

Almost surely, 257901157953 is an apocalyptic number.

It is an amenable number.

57901157953 is a deficient number, since it is larger than the sum of its proper divisors (1).

57901157953 is an equidigital number, since it uses as much as digits as its factorization.

57901157953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1488375, while the sum is 52.

The spelling of 57901157953 in words is "fifty-seven billion, nine hundred one million, one hundred fifty-seven thousand, nine hundred fifty-three".