1005145430301 has 12 divisors (see below), whose sum is σ = 1461124357212. Its totient is φ = 665828819136.

The previous prime is 1005145430293. The next prime is 1005145430329. The reversal of 1005145430301 is 1030345415001.

It is a happy number.

1005145430301 is a `hidden beast` number, since 100 + 5 + 14 + 543 + 0 + 3 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 320639062500 + 684506367801 = 566250^2 + 827349^2 .

It is not a de Polignac number, because 1005145430301 - 2³ = 1005145430293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005145430101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355676376 + ... + 355679201.

It is an arithmetic number, because the mean of its divisors is an integer number (121760363101).

Almost surely, 2^{1005145430301} is an apocalyptic number.

It is an amenable number.

1005145430301 is a deficient number, since it is larger than the sum of its proper divisors (455978926911).

1005145430301 is a wasteful number, since it uses less digits than its factorization.

1005145430301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711355740 (or 711355737 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1005145430301 in words is "one trillion, five billion, one hundred forty-five million, four hundred thirty thousand, three hundred one".