66526313201 has 2 divisors, whose sum is σ = 66526313202. Its totient is φ = 66526313200.

The previous prime is 66526313159. The next prime is 66526313213. The reversal of 66526313201 is 10231362566.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36024040000 + 30502273201 = 189800^2 + 174649^2 .

It is a cyclic number.

It is not a de Polignac number, because 66526313201 - 2³⁰ = 65452571377 is a prime.

It is not a weakly prime, because it can be changed into another prime (66526313281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33263156600 + 33263156601.

It is an arithmetic number, because the mean of its divisors is an integer number (33263156601).

Almost surely, 2^66526313201 is an apocalyptic number.

It is an amenable number.

66526313201 is a deficient number, since it is larger than the sum of its proper divisors (1).

66526313201 is an equidigital number, since it uses as much as digits as its factorization.

66526313201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 35.

Adding to 66526313201 its reverse (10231362566), we get a palindrome (76757675767).

The spelling of 66526313201 in words is "sixty-six billion, five hundred twenty-six million, three hundred thirteen thousand, two hundred one".