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257218049863 is a prime number
BaseRepresentation
bin1110111110001101100…
…0111111011101000111
3220120220222010210002101
43233203120333131013
513203240310043423
6314055255252531
724404050230625
oct3574330773507
9816828123071
10257218049863
119a0a3979a15
1241a2597a147
131b3425cba08
14c6412cc515
156a568557ad
hex3be363f747

257218049863 has 2 divisors, whose sum is σ = 257218049864. Its totient is φ = 257218049862.

The previous prime is 257218049827. The next prime is 257218049903. The reversal of 257218049863 is 368940812752.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257218049863 - 213 = 257218041671 is a prime.

It is a super-2 number, since 2×2572180498632 (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 (257218046863) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128609024931 + 128609024932.

It is an arithmetic number, because the mean of its divisors is an integer number (128609024932).

It is a 1-persistent number, because it is pandigital, but 2⋅257218049863 = 514436099726 is not.

Almost surely, 2257218049863 is an apocalyptic number.

257218049863 is a deficient number, since it is larger than the sum of its proper divisors (1).

257218049863 is an equidigital number, since it uses as much as digits as its factorization.

257218049863 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 257218049863 in words is "two hundred fifty-seven billion, two hundred eighteen million, forty-nine thousand, eight hundred sixty-three".