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257808255053 is a prime number
BaseRepresentation
bin1111000000011010010…
…0011100100001001101
3220122110002201022101212
43300012210130201031
513210442403130203
6314234021344205
724424505003516
oct3600644344115
9818402638355
10257808255053
119a3770478a8
1241b6b568065
131b40797825b
14c699845a0d
156a8d58b1d8
hex3c0691c84d

257808255053 has 2 divisors, whose sum is σ = 257808255054. Its totient is φ = 257808255052.

The previous prime is 257808255043. The next prime is 257808255071. The reversal of 257808255053 is 350552808752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 159426914089 + 98381340964 = 399283^2 + 313658^2 .

It is a cyclic number.

It is not a de Polignac number, because 257808255053 - 26 = 257808254989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257808254992 and 257808255010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257808255043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128904127526 + 128904127527.

It is an arithmetic number, because the mean of its divisors is an integer number (128904127527).

Almost surely, 2257808255053 is an apocalyptic number.

It is an amenable number.

257808255053 is a deficient number, since it is larger than the sum of its proper divisors (1).

257808255053 is an equidigital number, since it uses as much as digits as its factorization.

257808255053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3360000, while the sum is 50.

The spelling of 257808255053 in words is "two hundred fifty-seven billion, eight hundred eight million, two hundred fifty-five thousand, fifty-three".