Search a number
-
+
1363637106313 is a prime number
BaseRepresentation
bin10011110101111111000…
…110101111011010001001
311211100210012210101212121
4103311333012233122021
5134320212044400223
62522240215411241
7200343125104516
oct23657706573211
94740705711777
101363637106313
11486351662039
121a0347383b21
139b78a227131
144a0010ca30d
1525710b1915d
hex13d7f1af689

1363637106313 has 2 divisors, whose sum is σ = 1363637106314. Its totient is φ = 1363637106312.

The previous prime is 1363637106289. The next prime is 1363637106319. The reversal of 1363637106313 is 3136017363631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1353413469769 + 10223636544 = 1163363^2 + 101112^2 .

It is a cyclic number.

It is not a de Polignac number, because 1363637106313 - 213 = 1363637098121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1363637106313.

It is not a weakly prime, because it can be changed into another prime (1363637106319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 681818553156 + 681818553157.

It is an arithmetic number, because the mean of its divisors is an integer number (681818553157).

Almost surely, 21363637106313 is an apocalyptic number.

It is an amenable number.

1363637106313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1363637106313 is an equidigital number, since it uses as much as digits as its factorization.

1363637106313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 367416, while the sum is 43.

The spelling of 1363637106313 in words is "one trillion, three hundred sixty-three billion, six hundred thirty-seven million, one hundred six thousand, three hundred thirteen".