1306066505301 has 6 divisors (see below), whose sum is σ = 1886540507670. Its totient is φ = 870711003528.

The previous prime is 1306066505287. The next prime is 1306066505323. The reversal of 1306066505301 is 1035056606031.

1306066505301 is a `hidden beast` number, since 1 + 3 + 0 + 60 + 6 + 65 + 0 + 530 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1305537045201 + 529460100 = 1142601^2 + 23010^2 .

It is not a de Polignac number, because 1306066505301 - 2⁷ = 1306066505173 is a prime.

It is a super-2 number, since 2×1306066505301² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306066500301) 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, 72559250286 + ... + 72559250303.

It is an arithmetic number, because the mean of its divisors is an integer number (314423417945).

Almost surely, 2^{1306066505301} is an apocalyptic number.

It is an amenable number.

1306066505301 is a deficient number, since it is larger than the sum of its proper divisors (580474002369).

1306066505301 is a wasteful number, since it uses less digits than its factorization.

1306066505301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145118500595 (or 145118500592 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 1306066505301 in words is "one trillion, three hundred six billion, sixty-six million, five hundred five thousand, three hundred one".