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257998276297 is a prime number
BaseRepresentation
bin1111000001000111100…
…1010100011011001001
3220122221100021101112201
43300101321110123021
513211340024320142
6314304530240201
724432303110356
oct3602171243311
9818840241481
10257998276297
119a464334653
1242003126061
131b43814a568
14c6b6b8b62d
156aa00c3ab7
hex3c11e546c9

257998276297 has 2 divisors, whose sum is σ = 257998276298. Its totient is φ = 257998276296.

The previous prime is 257998276243. The next prime is 257998276307. The reversal of 257998276297 is 792672899752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 152899768576 + 105098507721 = 391024^2 + 324189^2 .

It is a cyclic number.

It is not a de Polignac number, because 257998276297 - 211 = 257998274249 is a prime.

It is a super-2 number, since 2×2579982762972 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257998277297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128999138148 + 128999138149.

It is an arithmetic number, because the mean of its divisors is an integer number (128999138149).

Almost surely, 2257998276297 is an apocalyptic number.

It is an amenable number.

257998276297 is a deficient number, since it is larger than the sum of its proper divisors (1).

257998276297 is an equidigital number, since it uses as much as digits as its factorization.

257998276297 is an evil number, because the sum of its binary digits is even.

The product of its digits is 480090240, while the sum is 73.

The spelling of 257998276297 in words is "two hundred fifty-seven billion, nine hundred ninety-eight million, two hundred seventy-six thousand, two hundred ninety-seven".