Search a number
-
+
125368035507853 is a prime number
BaseRepresentation
bin11100100000010110000101…
…001110001111111010001101
3121102220001210221122002100221
4130200112011032033322031
5112413012214042222403
61122345140323351341
735256353535145165
oct3440260516177215
9542801727562327
10125368035507853
1136a45315785006
12120891b9522551
1354c5202772a98
1422d5bb96b95a5
15e7619c449dbd
hex72058538fe8d

125368035507853 has 2 divisors, whose sum is σ = 125368035507854. Its totient is φ = 125368035507852.

The previous prime is 125368035507851. The next prime is 125368035507977. The reversal of 125368035507853 is 358705530863521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89159257686724 + 36208777821129 = 9442418^2 + 6017373^2 .

It is a cyclic number.

It is not a de Polignac number, because 125368035507853 - 21 = 125368035507851 is a prime.

Together with 125368035507851, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 125368035507791 and 125368035507800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125368035507851) 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, 62684017753926 + 62684017753927.

It is an arithmetic number, because the mean of its divisors is an integer number (62684017753927).

Almost surely, 2125368035507853 is an apocalyptic number.

It is an amenable number.

125368035507853 is a deficient number, since it is larger than the sum of its proper divisors (1).

125368035507853 is an equidigital number, since it uses as much as digits as its factorization.

125368035507853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720000, while the sum is 61.

The spelling of 125368035507853 in words is "one hundred twenty-five trillion, three hundred sixty-eight billion, thirty-five million, five hundred seven thousand, eight hundred fifty-three".