Search a number
-
+
57437586081781 is a prime number
BaseRepresentation
bin11010000111101001110101…
…11010100100011111110101
321112100222110010112101201221
431003310322322210133311
530012024134014104111
6322054243543150341
715045504633130603
oct1503647272443765
9245328403471657
1057437586081781
1117335163a48334
1265379574453b1
1326084585bc3c9
141027dcb76a873
1569913b869371
hex343d3aea47f5

57437586081781 has 2 divisors, whose sum is σ = 57437586081782. Its totient is φ = 57437586081780.

The previous prime is 57437586081779. The next prime is 57437586081899. The reversal of 57437586081781 is 18718068573475.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34672606839025 + 22764979242756 = 5888345^2 + 4771266^2 .

It is a cyclic number.

It is not a de Polignac number, because 57437586081781 - 21 = 57437586081779 is a prime.

It is a super-2 number, since 2×574375860817812 (a number of 28 digits) contains 22 as substring.

Together with 57437586081779, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 57437586081781.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57437586081731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28718793040890 + 28718793040891.

It is an arithmetic number, because the mean of its divisors is an integer number (28718793040891).

Almost surely, 257437586081781 is an apocalyptic number.

It is an amenable number.

57437586081781 is a deficient number, since it is larger than the sum of its proper divisors (1).

57437586081781 is an equidigital number, since it uses as much as digits as its factorization.

57437586081781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 316108800, while the sum is 70.

The spelling of 57437586081781 in words is "fifty-seven trillion, four hundred thirty-seven billion, five hundred eighty-six million, eighty-one thousand, seven hundred eighty-one".