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257928012457 is a prime number
BaseRepresentation
bin1111000000110110110…
…1010010001010101001
3220122202110001121200021
43300031231102022221
513211214032344312
6314253540240441
724430460634463
oct3601555221251
9818673047607
10257928012457
119a428703365
1241ba36a0121
131b42671891b
14c6ab6db133
156a98d44c07
hex3c0db522a9

257928012457 has 2 divisors, whose sum is σ = 257928012458. Its totient is φ = 257928012456.

The previous prime is 257928012437. The next prime is 257928012467. The reversal of 257928012457 is 754210829752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132189689241 + 125738323216 = 363579^2 + 354596^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-257928012457 is a prime.

It is a super-2 number, since 2×2579280124572 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257928012437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128964006228 + 128964006229.

It is an arithmetic number, because the mean of its divisors is an integer number (128964006229).

Almost surely, 2257928012457 is an apocalyptic number.

It is an amenable number.

257928012457 is a deficient number, since it is larger than the sum of its proper divisors (1).

257928012457 is an equidigital number, since it uses as much as digits as its factorization.

257928012457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2822400, while the sum is 52.

The spelling of 257928012457 in words is "two hundred fifty-seven billion, nine hundred twenty-eight million, twelve thousand, four hundred fifty-seven".