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257123584391 is a prime number
BaseRepresentation
bin1110111101110111000…
…0101000100110000111
3220120200101101102211012
43233131300220212013
513203042114200031
6314042042432435
724401522256242
oct3573560504607
9816611342735
10257123584391
119a055618683
12419ba20271b
131b328b7539b
14c63293c259
156a4d3e5b2b
hex3bddc28987

257123584391 has 2 divisors, whose sum is σ = 257123584392. Its totient is φ = 257123584390.

The previous prime is 257123584387. The next prime is 257123584397. The reversal of 257123584391 is 193485321752.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257123584391 - 22 = 257123584387 is a prime.

It is a super-2 number, since 2×2571235843912 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257123584397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128561792195 + 128561792196.

It is an arithmetic number, because the mean of its divisors is an integer number (128561792196).

Almost surely, 2257123584391 is an apocalyptic number.

257123584391 is a deficient number, since it is larger than the sum of its proper divisors (1).

257123584391 is an equidigital number, since it uses as much as digits as its factorization.

257123584391 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1814400, while the sum is 50.

The spelling of 257123584391 in words is "two hundred fifty-seven billion, one hundred twenty-three million, five hundred eighty-four thousand, three hundred ninety-one".