1413345054001 has 8 divisors (see below), whose sum is σ = 1536928485480. Its totient is φ = 1294255565568.

The previous prime is 1413345053993. The next prime is 1413345054007. The reversal of 1413345054001 is 1004505433141.

It can be written as a sum of positive squares in 4 ways, for example, as 781542634401 + 631802419600 = 884049^2 + 794860^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1413345054001 - 2³ = 1413345053993 is a prime.

It is a super-3 number, since 3×1413345054001³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1413345054007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1123485106 + ... + 1123486363.

It is an arithmetic number, because the mean of its divisors is an integer number (192116060685).

Almost surely, 2^{1413345054001} is an apocalyptic number.

It is an amenable number.

1413345054001 is a deficient number, since it is larger than the sum of its proper divisors (123583431479).

1413345054001 is a wasteful number, since it uses less digits than its factorization.

1413345054001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246971523.

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 1413345054001 in words is "one trillion, four hundred thirteen billion, three hundred forty-five million, fifty-four thousand, one".