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405008450593 is a prime number
BaseRepresentation
bin1011110010011000110…
…00101000010000100001
31102201101201212000120221
411321030120220100201
523113424130404333
6510020332403041
741155326012535
oct5711430502041
91381351760527
10405008450593
1114684379146a
12665b0616481
132c266168486
1415861423bc5
15a80646dd2d
hex5e4c628421

405008450593 has 2 divisors, whose sum is σ = 405008450594. Its totient is φ = 405008450592.

The previous prime is 405008450557. The next prime is 405008450699. The reversal of 405008450593 is 395054800504.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 403589572369 + 1418878224 = 635287^2 + 37668^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-405008450593 is a prime.

It is not a weakly prime, because it can be changed into another prime (405008450293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202504225296 + 202504225297.

It is an arithmetic number, because the mean of its divisors is an integer number (202504225297).

Almost surely, 2405008450593 is an apocalyptic number.

It is an amenable number.

405008450593 is a deficient number, since it is larger than the sum of its proper divisors (1).

405008450593 is an equidigital number, since it uses as much as digits as its factorization.

405008450593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 405008450593 in words is "four hundred five billion, eight million, four hundred fifty thousand, five hundred ninety-three".