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257106506803 is a prime number
BaseRepresentation
bin1110111101110010111…
…1011111010000110011
3220120122012020210202221
43233130233133100303
513203023231204203
6314040232421511
724401224151326
oct3573457372063
9816565223687
10257106506803
119a046a13a73
12419b4547897
131b3254761c3
14c6305747bd
156a4bb70abd
hex3bdcbdf433

257106506803 has 2 divisors, whose sum is σ = 257106506804. Its totient is φ = 257106506802.

The previous prime is 257106506801. The next prime is 257106506843. The reversal of 257106506803 is 308605601752.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257106506803 - 21 = 257106506801 is a prime.

It is a super-2 number, since 2×2571065068032 (a number of 24 digits) contains 22 as substring.

Together with 257106506801, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 257106506803.

It is not a weakly prime, because it can be changed into another prime (257106506801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128553253401 + 128553253402.

It is an arithmetic number, because the mean of its divisors is an integer number (128553253402).

Almost surely, 2257106506803 is an apocalyptic number.

257106506803 is a deficient number, since it is larger than the sum of its proper divisors (1).

257106506803 is an equidigital number, since it uses as much as digits as its factorization.

257106506803 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 257106506803 in words is "two hundred fifty-seven billion, one hundred six million, five hundred six thousand, eight hundred three".