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505545535153 is a prime number
BaseRepresentation
bin1110101101101001101…
…11001010111010110001
31210022220100010002100101
413112310313022322301
531240324124111103
61024124443152401
751344614101331
oct7266467127261
91708810102311
10505545535153
111854453030aa
1281b8a215701
1338899015819
141a67b9310c1
15d23c8e9a1d
hex75b4dcaeb1

505545535153 has 2 divisors, whose sum is σ = 505545535154. Its totient is φ = 505545535152.

The previous prime is 505545535141. The next prime is 505545535211. The reversal of 505545535153 is 351535545505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 482048324209 + 23497210944 = 694297^2 + 153288^2 .

It is a cyclic number.

It is not a de Polignac number, because 505545535153 - 217 = 505545404081 is a prime.

It is a super-2 number, since 2×5055455351532 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (505545535553) 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, 252772767576 + 252772767577.

It is an arithmetic number, because the mean of its divisors is an integer number (252772767577).

Almost surely, 2505545535153 is an apocalyptic number.

It is an amenable number.

505545535153 is a deficient number, since it is larger than the sum of its proper divisors (1).

505545535153 is an equidigital number, since it uses as much as digits as its factorization.

505545535153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2812500, while the sum is 46.

The spelling of 505545535153 in words is "five hundred five billion, five hundred forty-five million, five hundred thirty-five thousand, one hundred fifty-three".