Search a number
-
+
263473253760701 is a prime number
BaseRepresentation
bin111011111010000010100101…
…101100101011111010111101
31021112212210112001201211102202
4323322002211230223322331
5234013221210430320301
62332205535234001245
7106332212562310655
oct7372024554537275
91245783461654382
10263473253760701
1176a5041a018126
1225672a6b716225
13b40256256581a
14490c26020d365
15206d825d5c66b
hexefa0a5b2bebd

263473253760701 has 2 divisors, whose sum is σ = 263473253760702. Its totient is φ = 263473253760700.

The previous prime is 263473253760667. The next prime is 263473253760721. The reversal of 263473253760701 is 107067352374362.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132193104120676 + 131280149640025 = 11497526^2 + 11457755^2 .

It is a cyclic number.

It is not a de Polignac number, because 263473253760701 - 238 = 263198375853757 is a prime.

It is a super-2 number, since 2×2634732537607012 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (263473253760721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131736626880350 + 131736626880351.

It is an arithmetic number, because the mean of its divisors is an integer number (131736626880351).

Almost surely, 2263473253760701 is an apocalyptic number.

It is an amenable number.

263473253760701 is a deficient number, since it is larger than the sum of its proper divisors (1).

263473253760701 is an equidigital number, since it uses as much as digits as its factorization.

263473253760701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26671680, while the sum is 56.

The spelling of 263473253760701 in words is "two hundred sixty-three trillion, four hundred seventy-three billion, two hundred fifty-three million, seven hundred sixty thousand, seven hundred one".