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257340611261 is a prime number
BaseRepresentation
bin1110111110101010110…
…0100001101010111101
3220121020111202112201102
43233222230201222331
513204013144030021
6314115354222445
724410066050526
oct3575254415275
9817214675642
10257340611261
119a157080128
1241a5aa24a25
131b361b11756
14c6536b384d
156a624b500b
hex3beab21abd

257340611261 has 2 divisors, whose sum is σ = 257340611262. Its totient is φ = 257340611260.

The previous prime is 257340611237. The next prime is 257340611287. The reversal of 257340611261 is 162116043752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 246630431161 + 10710180100 = 496619^2 + 103490^2 .

It is a cyclic number.

It is not a de Polignac number, because 257340611261 - 222 = 257336416957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257340616261) 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, 128670305630 + 128670305631.

It is an arithmetic number, because the mean of its divisors is an integer number (128670305631).

Almost surely, 2257340611261 is an apocalyptic number.

It is an amenable number.

257340611261 is a deficient number, since it is larger than the sum of its proper divisors (1).

257340611261 is an equidigital number, since it uses as much as digits as its factorization.

257340611261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 257340611261 in words is "two hundred fifty-seven billion, three hundred forty million, six hundred eleven thousand, two hundred sixty-one".