66146131001 has 6 divisors (see below), whose sum is σ = 68505684702. Its totient is φ = 63865229120.

The previous prime is 66146130923. The next prime is 66146131003. The reversal of 66146131001 is 10013164166.

It can be written as a sum of positive squares in 3 ways, for example, as 2018165776 + 64127965225 = 44924^2 + 253235^2 .

It is not a de Polignac number, because 66146131001 - 2¹⁰ = 66146129977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66146131003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39325040 + ... + 39326721.

It is an arithmetic number, because the mean of its divisors is an integer number (11417614117).

Almost surely, 2^66146131001 is an apocalyptic number.

It is an amenable number.

66146131001 is a deficient number, since it is larger than the sum of its proper divisors (2359553701).

66146131001 is an equidigital number, since it uses as much as digits as its factorization.

66146131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78651819 (or 78651790 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 66146131001 its reverse (10013164166), we get a palindrome (76159295167).

The spelling of 66146131001 in words is "sixty-six billion, one hundred forty-six million, one hundred thirty-one thousand, one".