Search a number
-
+
12725567441 is a prime number
BaseRepresentation
bin10111101101000000…
…01011111111010001
31012211212101210202122
423312200023333101
5202030221124231
65502425024025
7630231352466
oct136640137721
935755353678
1012725567441
115440284194
122571925015
13127a586482
1488a12d66d
154e72e377b
hex2f680bfd1

12725567441 has 2 divisors, whose sum is σ = 12725567442. Its totient is φ = 12725567440.

The previous prime is 12725567411. The next prime is 12725567453. The reversal of 12725567441 is 14476552721.

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., 12637132225 + 88435216 = 112415^2 + 9404^2 .

It is a cyclic number.

It is not a de Polignac number, because 12725567441 - 210 = 12725566417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12725567392 and 12725567401.

It is not a weakly prime, because it can be changed into another prime (12725567411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6362783720 + 6362783721.

It is an arithmetic number, because the mean of its divisors is an integer number (6362783721).

Almost surely, 212725567441 is an apocalyptic number.

It is an amenable number.

12725567441 is a deficient number, since it is larger than the sum of its proper divisors (1).

12725567441 is an equidigital number, since it uses as much as digits as its factorization.

12725567441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 470400, while the sum is 44.

The spelling of 12725567441 in words is "twelve billion, seven hundred twenty-five million, five hundred sixty-seven thousand, four hundred forty-one".