Search a number
-
+
463634530753 is a prime number
BaseRepresentation
bin1101011111100101100…
…01011000000111000001
31122022201111011110122011
412233302301120013001
530044010414441003
6552554001012521
745332203326202
oct6576261300701
91568644143564
10463634530753
11169698673189
1275a32324141
133494a078934
14186236335a9
15c0d827e46d
hex6bf2c581c1

463634530753 has 2 divisors, whose sum is σ = 463634530754. Its totient is φ = 463634530752.

The previous prime is 463634530703. The next prime is 463634530781. The reversal of 463634530753 is 357035436364.

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., 274798220944 + 188836309809 = 524212^2 + 434553^2 .

It is a cyclic number.

It is not a de Polignac number, because 463634530753 - 217 = 463634399681 is a prime.

It is a super-3 number, since 3×4636345307533 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 463634530697 and 463634530706.

It is not a weakly prime, because it can be changed into another prime (463634530703) 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, 231817265376 + 231817265377.

It is an arithmetic number, because the mean of its divisors is an integer number (231817265377).

Almost surely, 2463634530753 is an apocalyptic number.

It is an amenable number.

463634530753 is a deficient number, since it is larger than the sum of its proper divisors (1).

463634530753 is an equidigital number, since it uses as much as digits as its factorization.

463634530753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8164800, while the sum is 49.

The spelling of 463634530753 in words is "four hundred sixty-three billion, six hundred thirty-four million, five hundred thirty thousand, seven hundred fifty-three".