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948506531561 is a prime number
BaseRepresentation
bin11011100110101110110…
…01010001011011101001
310100200021001101012022022
431303113121101123221
5111020020133002221
62003423214434225
7125345606330621
oct15632731213351
93320231335268
10948506531561
11336294233a06
121339b0b02975
136b59ccb27a4
1433c9d633881
1519a15c174ab
hexdcd76516e9

948506531561 has 2 divisors, whose sum is σ = 948506531562. Its totient is φ = 948506531560.

The previous prime is 948506531507. The next prime is 948506531563. The reversal of 948506531561 is 165135605849.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 862455829225 + 86050702336 = 928685^2 + 293344^2 .

It is an emirp because it is prime and its reverse (165135605849) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-948506531561 is a prime.

Together with 948506531563, 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 (948506531563) 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, 474253265780 + 474253265781.

It is an arithmetic number, because the mean of its divisors is an integer number (474253265781).

Almost surely, 2948506531561 is an apocalyptic number.

It is an amenable number.

948506531561 is a deficient number, since it is larger than the sum of its proper divisors (1).

948506531561 is an equidigital number, since it uses as much as digits as its factorization.

948506531561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888000, while the sum is 53.

The spelling of 948506531561 in words is "nine hundred forty-eight billion, five hundred six million, five hundred thirty-one thousand, five hundred sixty-one".