Search a number
-
+
12525517183301 is a prime number
BaseRepresentation
bin1011011001000101001100…
…0000001001100101000101
31122100102112211101000221222
42312101103000021211011
53120204224344331201
642350050531050125
72431636664245313
oct266212300114505
948312484330858
1012525517183301
113a9a050a01841
1214a3642440945
136cb1c7264295
14314349b350b3
1516ac3dd3591b
hexb6453009945

12525517183301 has 2 divisors, whose sum is σ = 12525517183302. Its totient is φ = 12525517183300.

The previous prime is 12525517183273. The next prime is 12525517183313. The reversal of 12525517183301 is 10338171552521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10267064259076 + 2258452924225 = 3204226^2 + 1502815^2 .

It is a cyclic number.

It is not a de Polignac number, because 12525517183301 - 214 = 12525517166917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12525517183351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6262758591650 + 6262758591651.

It is an arithmetic number, because the mean of its divisors is an integer number (6262758591651).

Almost surely, 212525517183301 is an apocalyptic number.

It is an amenable number.

12525517183301 is a deficient number, since it is larger than the sum of its proper divisors (1).

12525517183301 is an equidigital number, since it uses as much as digits as its factorization.

12525517183301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252000, while the sum is 44.

The spelling of 12525517183301 in words is "twelve trillion, five hundred twenty-five billion, five hundred seventeen million, one hundred eighty-three thousand, three hundred one".