66407261201 has 2 divisors, whose sum is σ = 66407261202. Its totient is φ = 66407261200.

The previous prime is 66407261161. The next prime is 66407261243. The reversal of 66407261201 is 10216270466.

66407261201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58942128400 + 7465132801 = 242780^2 + 86401^2 .

It is a cyclic number.

It is not a de Polignac number, because 66407261201 - 2¹⁴ = 66407244817 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (66407266201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33203630600 + 33203630601.

It is an arithmetic number, because the mean of its divisors is an integer number (33203630601).

Almost surely, 2^66407261201 is an apocalyptic number.

It is an amenable number.

66407261201 is a deficient number, since it is larger than the sum of its proper divisors (1).

66407261201 is an equidigital number, since it uses as much as digits as its factorization.

66407261201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 66407261201 in words is "sixty-six billion, four hundred seven million, two hundred sixty-one thousand, two hundred one".