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257550506357 is a prime number
BaseRepresentation
bin1110111111011100110…
…1001101100101110101
3220121210010201022122212
43233313031031211311
513204430412200412
6314152253103205
724415225116554
oct3576715154565
9817703638585
10257550506357
119a254601451
1241ab9187b05
131b396451931
14c67350dd9b
156a75b26222
hex3bf734d975

257550506357 has 2 divisors, whose sum is σ = 257550506358. Its totient is φ = 257550506356.

The previous prime is 257550506351. The next prime is 257550506363. The reversal of 257550506357 is 753605055752.

It is a balanced prime because it is at equal distance from previous prime (257550506351) and next prime (257550506363).

It can be written as a sum of positive squares in only one way, i.e., 257534935441 + 15570916 = 507479^2 + 3946^2 .

It is a cyclic number.

It is not a de Polignac number, because 257550506357 - 26 = 257550506293 is a prime.

It is a super-2 number, since 2×2575505063572 (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 (257550506351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128775253178 + 128775253179.

It is an arithmetic number, because the mean of its divisors is an integer number (128775253179).

Almost surely, 2257550506357 is an apocalyptic number.

It is an amenable number.

257550506357 is a deficient number, since it is larger than the sum of its proper divisors (1).

257550506357 is an equidigital number, since it uses as much as digits as its factorization.

257550506357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5512500, while the sum is 50.

The spelling of 257550506357 in words is "two hundred fifty-seven billion, five hundred fifty million, five hundred six thousand, three hundred fifty-seven".