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257156094509 is a prime number
BaseRepresentation
bin1110111101111110110…
…0101001101000101101
3220120202122120010022122
43233133230221220231
513203123430011014
6314045203322325
724402365511026
oct3573754515055
9816678503278
10257156094509
119a071a02a46
1241a090803a5
131b332818a42
14c636da1c4d
156a511b858e
hex3bdfb29a2d

257156094509 has 2 divisors, whose sum is σ = 257156094510. Its totient is φ = 257156094508.

The previous prime is 257156094487. The next prime is 257156094511. The reversal of 257156094509 is 905490651752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255552492484 + 1603602025 = 505522^2 + 40045^2 .

It is a cyclic number.

It is not a de Polignac number, because 257156094509 - 28 = 257156094253 is a prime.

It is a super-2 number, since 2×2571560945092 (a number of 24 digits) contains 22 as substring.

Together with 257156094511, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257156090509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128578047254 + 128578047255.

It is an arithmetic number, because the mean of its divisors is an integer number (128578047255).

Almost surely, 2257156094509 is an apocalyptic number.

It is an amenable number.

257156094509 is a deficient number, since it is larger than the sum of its proper divisors (1).

257156094509 is an equidigital number, since it uses as much as digits as its factorization.

257156094509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3402000, while the sum is 53.

The spelling of 257156094509 in words is "two hundred fifty-seven billion, one hundred fifty-six million, ninety-four thousand, five hundred nine".