Search a number
-
+
12265452541 is a prime number
BaseRepresentation
bin10110110110001001…
…11111001111111101
31011122210121112210001
423123010333033331
5200104423440131
65345031114301
7612643424566
oct133304771775
934583545701
1012265452541
11522458a041
122463812991
131206157834
14844d9b16d
154bbc08261
hex2db13f3fd

12265452541 has 2 divisors, whose sum is σ = 12265452542. Its totient is φ = 12265452540.

The previous prime is 12265452509. The next prime is 12265452557. The reversal of 12265452541 is 14525456221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12075812100 + 189640441 = 109890^2 + 13771^2 .

It is a cyclic number.

It is not a de Polignac number, because 12265452541 - 25 = 12265452509 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12265452541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12265452041) 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, 6132726270 + 6132726271.

It is an arithmetic number, because the mean of its divisors is an integer number (6132726271).

Almost surely, 212265452541 is an apocalyptic number.

It is an amenable number.

12265452541 is a deficient number, since it is larger than the sum of its proper divisors (1).

12265452541 is an equidigital number, since it uses as much as digits as its factorization.

12265452541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 96000, while the sum is 37.

The spelling of 12265452541 in words is "twelve billion, two hundred sixty-five million, four hundred fifty-two thousand, five hundred forty-one".