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407625173489 is a prime number
BaseRepresentation
bin1011110111010000101…
…10101000100111110001
31102222011002200022120202
411323220112220213301
523134304021022424
6511132130044545
741310221543342
oct5735026504761
91388132608522
10407625173489
11147966869076
1267000a19755
132c592315011
1415a2cb7a0c9
15a90b0542ae
hex5ee85a89f1

407625173489 has 2 divisors, whose sum is σ = 407625173490. Its totient is φ = 407625173488.

The previous prime is 407625173453. The next prime is 407625173491. The reversal of 407625173489 is 984371526704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 341280292864 + 66344880625 = 584192^2 + 257575^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-407625173489 is a prime.

Together with 407625173491, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (407625173419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203812586744 + 203812586745.

It is an arithmetic number, because the mean of its divisors is an integer number (203812586745).

It is a 2-persistent number, because it is pandigital, and so is 2⋅407625173489 = 815250346978, but 3⋅407625173489 = 1222875520467 is not.

Almost surely, 2407625173489 is an apocalyptic number.

It is an amenable number.

407625173489 is a deficient number, since it is larger than the sum of its proper divisors (1).

407625173489 is an equidigital number, since it uses as much as digits as its factorization.

407625173489 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 407625173489 in words is "four hundred seven billion, six hundred twenty-five million, one hundred seventy-three thousand, four hundred eighty-nine".