1305431440001 has 16 divisors (see below), whose sum is σ = 1413156208464. Its totient is φ = 1198752006144.

The previous prime is 1305431439959. The next prime is 1305431440013. The reversal of 1305431440001 is 1000441345031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28642177600 + 1276789262401 = 169240^2 + 1129951^2 .

It is a cyclic number.

It is not a de Polignac number, because 1305431440001 - 2⁶ = 1305431439937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1305431440501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25217921 + ... + 25269633.

It is an arithmetic number, because the mean of its divisors is an integer number (88322263029).

Almost surely, 2^{1305431440001} is an apocalyptic number.

It is an amenable number.

1305431440001 is a deficient number, since it is larger than the sum of its proper divisors (107724768463).

1305431440001 is a wasteful number, since it uses less digits than its factorization.

1305431440001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61780.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 1305431440001 its reverse (1000441345031), we get a palindrome (2305872785032).

The spelling of 1305431440001 in words is "one trillion, three hundred five billion, four hundred thirty-one million, four hundred forty thousand, one".