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2582006663149 is a prime number
BaseRepresentation
bin100101100100101011100…
…101110000011111101101
3100010211121111001200112221
4211210223211300133231
5314300422201210044
65254054003355341
7354354350342044
oct45445345603755
910124544050487
102582006663149
119060284a3061
123584b0982b51
131596364850a4
148cd8115d55b
154726d35b484
hex2592b9707ed

2582006663149 has 2 divisors, whose sum is σ = 2582006663150. Its totient is φ = 2582006663148.

The previous prime is 2582006663099. The next prime is 2582006663191. The reversal of 2582006663149 is 9413666002852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1407616144900 + 1174390518249 = 1186430^2 + 1083693^2 .

It is a cyclic number.

It is not a de Polignac number, because 2582006663149 - 221 = 2582004565997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2582006663096 and 2582006663105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2582006663549) 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, 1291003331574 + 1291003331575.

It is an arithmetic number, because the mean of its divisors is an integer number (1291003331575).

Almost surely, 22582006663149 is an apocalyptic number.

It is an amenable number.

2582006663149 is a deficient number, since it is larger than the sum of its proper divisors (1).

2582006663149 is an equidigital number, since it uses as much as digits as its factorization.

2582006663149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 2582006663149 in words is "two trillion, five hundred eighty-two billion, six million, six hundred sixty-three thousand, one hundred forty-nine".