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405257856317 is a prime number
BaseRepresentation
bin1011110010110110100…
…00000010010100111101
31102202001010011010220222
411321123100002110331
523114432002400232
6510101202151125
741164444641116
oct5713320022475
91382033133828
10405257856317
111469615496a6
12666600524a5
132c2a5a30522
14158865c720d
15a81d2d6d12
hex5e5b40253d

405257856317 has 2 divisors, whose sum is σ = 405257856318. Its totient is φ = 405257856316.

The previous prime is 405257856281. The next prime is 405257856371. The reversal of 405257856317 is 713658752504.

Together with next prime (405257856371) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 327208024441 + 78049831876 = 572021^2 + 279374^2 .

It is a cyclic number.

It is not a de Polignac number, because 405257856317 - 222 = 405253662013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405257856617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202628928158 + 202628928159.

It is an arithmetic number, because the mean of its divisors is an integer number (202628928159).

Almost surely, 2405257856317 is an apocalyptic number.

It is an amenable number.

405257856317 is a deficient number, since it is larger than the sum of its proper divisors (1).

405257856317 is an equidigital number, since it uses as much as digits as its factorization.

405257856317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056000, while the sum is 53.

The spelling of 405257856317 in words is "four hundred five billion, two hundred fifty-seven million, eight hundred fifty-six thousand, three hundred seventeen".