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13053012569 is a prime number
BaseRepresentation
bin11000010100000010…
…10010101001011001
31020200200112202000222
430022001102221121
5203213032400234
65555123205425
7641315530142
oct141201225131
936620482028
1013053012569
1155990a35a3
122643516875
13130037339c
148bb808ac9
15515e2442e
hex30a052a59

13053012569 has 2 divisors, whose sum is σ = 13053012570. Its totient is φ = 13053012568.

The previous prime is 13053012563. The next prime is 13053012589. The reversal of 13053012569 is 96521035031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12724968025 + 328044544 = 112805^2 + 18112^2 .

It is a cyclic number.

It is not a de Polignac number, because 13053012569 - 220 = 13051963993 is a prime.

It is a super-3 number, since 3×130530125693 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (13053012563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6526506284 + 6526506285.

It is an arithmetic number, because the mean of its divisors is an integer number (6526506285).

Almost surely, 213053012569 is an apocalyptic number.

It is an amenable number.

13053012569 is a deficient number, since it is larger than the sum of its proper divisors (1).

13053012569 is an equidigital number, since it uses as much as digits as its factorization.

13053012569 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24300, while the sum is 35.

The spelling of 13053012569 in words is "thirteen billion, fifty-three million, twelve thousand, five hundred sixty-nine".