Search a number
-
+
13025638760149 is a prime number
BaseRepresentation
bin1011110110001100010010…
…0100100011111011010101
31201010020110011100111021201
42331203010210203323111
53201403002010311044
643411521300112501
72513033320434301
oct275430444437325
951106404314251
1013025638760149
114172162558774
121564558095731
1373640a63b902
14330631164d01
15178c604817d4
hexbd8c4923ed5

13025638760149 has 2 divisors, whose sum is σ = 13025638760150. Its totient is φ = 13025638760148.

The previous prime is 13025638760083. The next prime is 13025638760171. The reversal of 13025638760149 is 94106783652031.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12772511038225 + 253127721924 = 3573865^2 + 503118^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13025638760149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13025638760149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13025638760549) 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, 6512819380074 + 6512819380075.

It is an arithmetic number, because the mean of its divisors is an integer number (6512819380075).

It is a 1-persistent number, because it is pandigital, but 2⋅13025638760149 = 26051277520298 is not.

Almost surely, 213025638760149 is an apocalyptic number.

It is an amenable number.

13025638760149 is a deficient number, since it is larger than the sum of its proper divisors (1).

13025638760149 is an equidigital number, since it uses as much as digits as its factorization.

13025638760149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 13025638760149 in words is "thirteen trillion, twenty-five billion, six hundred thirty-eight million, seven hundred sixty thousand, one hundred forty-nine".