Search a number
-
+
57527530337 is a prime number
BaseRepresentation
bin110101100100111010…
…000111001101100001
312111111012012022222202
4311210322013031201
51420304021432322
642232222342545
74104404640224
oct654472071541
9174435168882
1057527530337
1122440878002
12b195a2aa55
13556a4498a4
142ada36b5bb
15176a664292
hexd64e87361

57527530337 has 2 divisors, whose sum is σ = 57527530338. Its totient is φ = 57527530336.

The previous prime is 57527530259. The next prime is 57527530339. The reversal of 57527530337 is 73303572575.

57527530337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47580260641 + 9947269696 = 218129^2 + 99736^2 .

It is a cyclic number.

It is not a de Polignac number, because 57527530337 - 218 = 57527268193 is a prime.

Together with 57527530339, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 57527530291 and 57527530300.

It is not a weakly prime, because it can be changed into another prime (57527530339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28763765168 + 28763765169.

It is an arithmetic number, because the mean of its divisors is an integer number (28763765169).

Almost surely, 257527530337 is an apocalyptic number.

It is an amenable number.

57527530337 is a deficient number, since it is larger than the sum of its proper divisors (1).

57527530337 is an equidigital number, since it uses as much as digits as its factorization.

57527530337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2315250, while the sum is 47.

The spelling of 57527530337 in words is "fifty-seven billion, five hundred twenty-seven million, five hundred thirty thousand, three hundred thirty-seven".