13005252043145 has 48 divisors (see below), whose sum is σ = 16589868225840. Its totient is φ = 9781105152000.

The previous prime is 13005252043111. The next prime is 13005252043153. The reversal of 13005252043145 is 54134025250031.

It can be written as a sum of positive squares in 24 ways, for example, as 11512808660809 + 1492443382336 = 3393053^2 + 1221656^2 .

It is not a de Polignac number, because 13005252043145 - 2⁸ = 13005252042889 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87680045 + ... + 87828245.

It is an arithmetic number, because the mean of its divisors is an integer number (345622254705).

Almost surely, 2^{13005252043145} is an apocalyptic number.

It is an amenable number.

13005252043145 is a deficient number, since it is larger than the sum of its proper divisors (3584616182695).

13005252043145 is a wasteful number, since it uses less digits than its factorization.

13005252043145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148814 (or 148785 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 13005252043145 its reverse (54134025250031), we get a palindrome (67139277293176).

The spelling of 13005252043145 in words is "thirteen trillion, five billion, two hundred fifty-two million, forty-three thousand, one hundred forty-five".