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257284490581 is a prime number
BaseRepresentation
bin1110111110011101011…
…0011100010101010101
3220121002121011022121201
43233213112130111111
513203404312144311
6314110031312501
724405515041426
oct3574726342525
9817077138551
10257284490581
119a1284298a8
1241a4407b731
131b3532c2451
14c64a06564d
156a5c5cb9c1
hex3be759c555

257284490581 has 2 divisors, whose sum is σ = 257284490582. Its totient is φ = 257284490580.

The previous prime is 257284490539. The next prime is 257284490591. The reversal of 257284490581 is 185094482752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 254006928081 + 3277562500 = 503991^2 + 57250^2 .

It is a cyclic number.

It is not a de Polignac number, because 257284490581 - 27 = 257284490453 is a prime.

It is a super-2 number, since 2×2572844905812 (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 (257284490501) 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, 128642245290 + 128642245291.

It is an arithmetic number, because the mean of its divisors is an integer number (128642245291).

Almost surely, 2257284490581 is an apocalyptic number.

It is an amenable number.

257284490581 is a deficient number, since it is larger than the sum of its proper divisors (1).

257284490581 is an equidigital number, since it uses as much as digits as its factorization.

257284490581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6451200, while the sum is 55.

The spelling of 257284490581 in words is "two hundred fifty-seven billion, two hundred eighty-four million, four hundred ninety thousand, five hundred eighty-one".