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481553406623857 is a prime number
BaseRepresentation
bin110110101111110000110001…
…1101111100000000001110001
32100011001001111212201212112011
41231133201203233200001301
51001104232334043430412
64424102325254402521
7203301041221360201
oct15537414357400161
92304031455655464
10481553406623857
1112a48a71aa71097
1246014339660441
13178913a326b039
1486cb4487ac401
153aa14988bb7a7
hex1b5f863be0071

481553406623857 has 2 divisors, whose sum is σ = 481553406623858. Its totient is φ = 481553406623856.

The previous prime is 481553406623803. The next prime is 481553406623867. The reversal of 481553406623857 is 758326604355184.

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., 424704460672881 + 56848945950976 = 20608359^2 + 7539824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-481553406623857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 481553406623792 and 481553406623801.

It is not a weakly prime, because it can be changed into another prime (481553406623867) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240776703311928 + 240776703311929.

It is an arithmetic number, because the mean of its divisors is an integer number (240776703311929).

Almost surely, 2481553406623857 is an apocalyptic number.

It is an amenable number.

481553406623857 is a deficient number, since it is larger than the sum of its proper divisors (1).

481553406623857 is an equidigital number, since it uses as much as digits as its factorization.

481553406623857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608000, while the sum is 67.

The spelling of 481553406623857 in words is "four hundred eighty-one trillion, five hundred fifty-three billion, four hundred six million, six hundred twenty-three thousand, eight hundred fifty-seven".