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213527681953 is a prime number
BaseRepresentation
bin1100011011011100111…
…1011101101110100001
3202102011010000010111221
43012313033131232201
511444301041310303
6242032051135041
721266262230665
oct3066717355641
9672133003457
10213527681953
118261389a943
1235471ba4481
131719bb18b01
14a49896a8a5
15584adab4bd
hex31b73ddba1

213527681953 has 2 divisors, whose sum is σ = 213527681954. Its totient is φ = 213527681952.

The previous prime is 213527681833. The next prime is 213527681987. The reversal of 213527681953 is 359186725312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136403171584 + 77124510369 = 369328^2 + 277713^2 .

It is a cyclic number.

It is not a de Polignac number, because 213527681953 - 237 = 76088728481 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213527681953.

It is not a weakly prime, because it can be changed into another prime (213527681753) 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, 106763840976 + 106763840977.

It is an arithmetic number, because the mean of its divisors is an integer number (106763840977).

Almost surely, 2213527681953 is an apocalyptic number.

It is an amenable number.

213527681953 is a deficient number, since it is larger than the sum of its proper divisors (1).

213527681953 is an equidigital number, since it uses as much as digits as its factorization.

213527681953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2721600, while the sum is 52.

The spelling of 213527681953 in words is "two hundred thirteen billion, five hundred twenty-seven million, six hundred eighty-one thousand, nine hundred fifty-three".