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407673125081 is a prime number
BaseRepresentation
bin1011110111010110011…
…01100011100011011001
31102222021102220111210122
411323223031203203121
523134403310000311
6511141001523025
741311343250035
oct5735315434331
91388242814718
10407673125081
1114799093a892
1267014aa3475
132c59c233c41
1415a3529d1c5
15a9103770db
hex5eeb3638d9

407673125081 has 2 divisors, whose sum is σ = 407673125082. Its totient is φ = 407673125080.

The previous prime is 407673125077. The next prime is 407673125141. The reversal of 407673125081 is 180521376704.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 353240035600 + 54433089481 = 594340^2 + 233309^2 .

It is a cyclic number.

It is not a de Polignac number, because 407673125081 - 22 = 407673125077 is a prime.

It is a super-2 number, since 2×4076731250812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (407673124081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203836562540 + 203836562541.

It is an arithmetic number, because the mean of its divisors is an integer number (203836562541).

Almost surely, 2407673125081 is an apocalyptic number.

It is an amenable number.

407673125081 is a deficient number, since it is larger than the sum of its proper divisors (1).

407673125081 is an equidigital number, since it uses as much as digits as its factorization.

407673125081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 407673125081 in words is "four hundred seven billion, six hundred seventy-three million, one hundred twenty-five thousand, eighty-one".