1413052120017 has 24 divisors (see below), whose sum is σ = 2111528788200. Its totient is φ = 909519948288.

The previous prime is 1413052120003. The next prime is 1413052120019. The reversal of 1413052120017 is 7100212503141.

1413052120017 is a `hidden beast` number, since 1 + 4 + 130 + 521 + 2 + 0 + 0 + 1 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 757301993361 + 655750126656 = 870231^2 + 809784^2 .

It is not a de Polignac number, because 1413052120017 - 2¹¹ = 1413052117969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1413052120019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9560959 + ... + 9707627.

It is an arithmetic number, because the mean of its divisors is an integer number (87980366175).

Almost surely, 2^{1413052120017} is an apocalyptic number.

It is an amenable number.

1413052120017 is a deficient number, since it is larger than the sum of its proper divisors (698476668183).

1413052120017 is a wasteful number, since it uses less digits than its factorization.

1413052120017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183617 (or 183614 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 1413052120017 its reverse (7100212503141), we get a palindrome (8513264623158).

The spelling of 1413052120017 in words is "one trillion, four hundred thirteen billion, fifty-two million, one hundred twenty thousand, seventeen".