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257136770353 is a prime number
BaseRepresentation
bin1110111101111010001…
…0111011110100110001
3220120201022012100120011
43233132202323310301
513203104003122403
6314043233214521
724402042325261
oct3573642736461
9816638170504
10257136770353
119a062004471
1241a02701441
131b32b811128
14c6345b17a1
156a4e64ca6d
hex3bde8bbd31

257136770353 has 2 divisors, whose sum is σ = 257136770354. Its totient is φ = 257136770352.

The previous prime is 257136770347. The next prime is 257136770377. The reversal of 257136770353 is 353077631752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 235892833344 + 21243937009 = 485688^2 + 145753^2 .

It is a cyclic number.

It is not a de Polignac number, because 257136770353 - 25 = 257136770321 is a prime.

It is a super-2 number, since 2×2571367703532 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257136770297 and 257136770306.

It is not a weakly prime, because it can be changed into another prime (257136770383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128568385176 + 128568385177.

It is an arithmetic number, because the mean of its divisors is an integer number (128568385177).

Almost surely, 2257136770353 is an apocalyptic number.

It is an amenable number.

257136770353 is a deficient number, since it is larger than the sum of its proper divisors (1).

257136770353 is an equidigital number, since it uses as much as digits as its factorization.

257136770353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2778300, while the sum is 49.

The spelling of 257136770353 in words is "two hundred fifty-seven billion, one hundred thirty-six million, seven hundred seventy thousand, three hundred fifty-three".