66506101 has 2 divisors, whose sum is σ = 66506102. Its totient is φ = 66506100.

The previous prime is 66506093. The next prime is 66506107. The reversal of 66506101 is 10160566.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64883025 + 1623076 = 8055^2 + 1274^2 .

It is a cyclic number.

It is not a de Polignac number, because 66506101 - 2³ = 66506093 is a prime.

It is a super-2 number, since 2×66506101² = 8846122940444402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66506107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33253050 + 33253051.

It is an arithmetic number, because the mean of its divisors is an integer number (33253051).

Almost surely, 2^66506101 is an apocalyptic number.

It is an amenable number.

66506101 is a deficient number, since it is larger than the sum of its proper divisors (1).

66506101 is an equidigital number, since it uses as much as digits as its factorization.

66506101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 66506101 is about 8155.1272828816. The cubic root of 66506101 is about 405.1543404031.

Adding to 66506101 its reverse (10160566), we get a palindrome (76666667).

The spelling of 66506101 in words is "sixty-six million, five hundred six thousand, one hundred one".