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257003300053 is a prime number
BaseRepresentation
bin1110111101011010010…
…1110010010011010101
3220120101000001100201201
43233112211302103111
513202320321100203
6314022104352501
724365532002113
oct3572645622325
9816330040651
10257003300053
1199aa3732235
1241985a75731
131b309c7bc16
14c62098aab3
156a42a85e1d
hex3bd69724d5

257003300053 has 2 divisors, whose sum is σ = 257003300054. Its totient is φ = 257003300052.

The previous prime is 257003300051. The next prime is 257003300123. The reversal of 257003300053 is 350003300752.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 235862721649 + 21140578404 = 485657^2 + 145398^2 .

It is a cyclic number.

It is not a de Polignac number, because 257003300053 - 21 = 257003300051 is a prime.

Together with 257003300051, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 257003299994 and 257003300030.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257003300051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128501650026 + 128501650027.

It is an arithmetic number, because the mean of its divisors is an integer number (128501650027).

Almost surely, 2257003300053 is an apocalyptic number.

It is an amenable number.

257003300053 is a deficient number, since it is larger than the sum of its proper divisors (1).

257003300053 is an equidigital number, since it uses as much as digits as its factorization.

257003300053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9450, while the sum is 28.

The spelling of 257003300053 in words is "two hundred fifty-seven billion, three million, three hundred thousand, fifty-three".