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257050127560381 is a prime number
BaseRepresentation
bin111010011100100100100101…
…100010101110111010111101
31020201010202022100121012122221
4322130210211202232322331
5232143002130123413011
62310411110504005341
7105100154534402101
oct7234444542567275
91221122270535587
10257050127560381
11749a438a7a7831
12249b6053760851
13b0579526203bc
144769414abb901
151eab6e508d971
hexe9c9258aeebd

257050127560381 has 2 divisors, whose sum is σ = 257050127560382. Its totient is φ = 257050127560380.

The previous prime is 257050127560321. The next prime is 257050127560393. The reversal of 257050127560381 is 183065721050752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 254465219265156 + 2584908295225 = 15951966^2 + 1607765^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-257050127560381 is a prime.

It is a super-2 number, since 2×2570501275603812 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257050127560321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128525063780190 + 128525063780191.

It is an arithmetic number, because the mean of its divisors is an integer number (128525063780191).

Almost surely, 2257050127560381 is an apocalyptic number.

It is an amenable number.

257050127560381 is a deficient number, since it is larger than the sum of its proper divisors (1).

257050127560381 is an equidigital number, since it uses as much as digits as its factorization.

257050127560381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528000, while the sum is 52.

The spelling of 257050127560381 in words is "two hundred fifty-seven trillion, fifty billion, one hundred twenty-seven million, five hundred sixty thousand, three hundred eighty-one".