Search a number
-
+
12546213561757 is a prime number
BaseRepresentation
bin1011011010010010010010…
…0110100100010110011101
31122102101222012020222212101
42312210210212210112131
53121024121132434012
642403352334205101
72433301603461151
oct266444446442635
948371865228771
1012546213561757
113aa7901527247
1214a7659653791
13700144cb0a75
143153506d1061
1516b550caad57
hexb69249a459d

12546213561757 has 2 divisors, whose sum is σ = 12546213561758. Its totient is φ = 12546213561756.

The previous prime is 12546213561731. The next prime is 12546213561781. The reversal of 12546213561757 is 75716531264521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6329823255396 + 6216390306361 = 2515914^2 + 2493269^2 .

It is a cyclic number.

It is not a de Polignac number, because 12546213561757 - 211 = 12546213559709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12546213561698 and 12546213561707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12546213561727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6273106780878 + 6273106780879.

It is an arithmetic number, because the mean of its divisors is an integer number (6273106780879).

Almost surely, 212546213561757 is an apocalyptic number.

It is an amenable number.

12546213561757 is a deficient number, since it is larger than the sum of its proper divisors (1).

12546213561757 is an equidigital number, since it uses as much as digits as its factorization.

12546213561757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10584000, while the sum is 55.

The spelling of 12546213561757 in words is "twelve trillion, five hundred forty-six billion, two hundred thirteen million, five hundred sixty-one thousand, seven hundred fifty-seven".