Search a number
-
+
13565553760769 is a prime number
BaseRepresentation
bin1100010101100111101000…
…0000110101101000000001
31210000212001202200022210112
43011121322000311220001
53234224223230321034
644503532424241105
72600036032300103
oct305317200655001
953025052608715
1013565553760769
11436013449898a
121631118610195
137752c304b13a
1434c80d54b573
15187d103ab7ce
hexc567a035a01

13565553760769 has 2 divisors, whose sum is σ = 13565553760770. Its totient is φ = 13565553760768.

The previous prime is 13565553760747. The next prime is 13565553760789. The reversal of 13565553760769 is 96706735556531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11726104435600 + 1839449325169 = 3424340^2 + 1356263^2 .

It is a cyclic number.

It is not a de Polignac number, because 13565553760769 - 216 = 13565553695233 is a prime.

It is a super-2 number, since 2×135655537607692 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13565553760699 and 13565553760708.

It is not a weakly prime, because it can be changed into another prime (13565553760789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6782776880384 + 6782776880385.

It is an arithmetic number, because the mean of its divisors is an integer number (6782776880385).

Almost surely, 213565553760769 is an apocalyptic number.

It is an amenable number.

13565553760769 is a deficient number, since it is larger than the sum of its proper divisors (1).

13565553760769 is an equidigital number, since it uses as much as digits as its factorization.

13565553760769 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 535815000, while the sum is 68.

The spelling of 13565553760769 in words is "thirteen trillion, five hundred sixty-five billion, five hundred fifty-three million, seven hundred sixty thousand, seven hundred sixty-nine".