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257300484797 is a prime number
BaseRepresentation
bin1110111110100001001…
…1011101001010111101
3220121010201020220120002
43233220103131022331
513203422411003142
6314111402204045
724406101014666
oct3575023351275
9817121226502
10257300484797
119a136463564
1241a494b3625
131b356702495
14c64c22a36d
156a5dbdaa32
hex3be84dd2bd

257300484797 has 2 divisors, whose sum is σ = 257300484798. Its totient is φ = 257300484796.

The previous prime is 257300484773. The next prime is 257300484827. The reversal of 257300484797 is 797484003752.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 254102695396 + 3197789401 = 504086^2 + 56549^2 .

It is a cyclic number.

It is not a de Polignac number, because 257300484797 - 26 = 257300484733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257300486797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128650242398 + 128650242399.

It is an arithmetic number, because the mean of its divisors is an integer number (128650242399).

Almost surely, 2257300484797 is an apocalyptic number.

It is an amenable number.

257300484797 is a deficient number, since it is larger than the sum of its proper divisors (1).

257300484797 is an equidigital number, since it uses as much as digits as its factorization.

257300484797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11854080, while the sum is 56.

The spelling of 257300484797 in words is "two hundred fifty-seven billion, three hundred million, four hundred eighty-four thousand, seven hundred ninety-seven".