66126761126501 has 2 divisors, whose sum is σ = 66126761126502. Its totient is φ = 66126761126500.

The previous prime is 66126761126479. The next prime is 66126761126507. The reversal of 66126761126501 is 10562116762166.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58651841085601 + 7474920040900 = 7658449^2 + 2734030^2 .

It is a cyclic number.

It is not a de Polignac number, because 66126761126501 - 2⁴² = 61728714615397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66126761126501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66126761126507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33063380563250 + 33063380563251.

It is an arithmetic number, because the mean of its divisors is an integer number (33063380563251).

Almost surely, 2^{66126761126501} is an apocalyptic number.

It is an amenable number.

66126761126501 is a deficient number, since it is larger than the sum of its proper divisors (1).

66126761126501 is an equidigital number, since it uses as much as digits as its factorization.

66126761126501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1088640, while the sum is 50.

Adding to 66126761126501 its reverse (10562116762166), we get a palindrome (76688877888667).

The spelling of 66126761126501 in words is "sixty-six trillion, one hundred twenty-six billion, seven hundred sixty-one million, one hundred twenty-six thousand, five hundred one".