1353532411413 has 72 divisors (see below), whose sum is σ = 2457077459928. Its totient is φ = 711669224448.

The previous prime is 1353532411403. The next prime is 1353532411493. The reversal of 1353532411413 is 3141142353531.

1353532411413 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 532 + 4 + 114 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64812503889 + 1288719907524 = 254583^2 + 1135218^2 .

It is not a de Polignac number, because 1353532411413 - 2⁴ = 1353532411397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353532411403) 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 71 ways as a sum of consecutive naturals, for example, 1417281 + ... + 2171577.

Almost surely, 2^{1353532411413} is an apocalyptic number.

1353532411413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1353532411413 is a deficient number, since it is larger than the sum of its proper divisors (1103545048515).

1353532411413 is a wasteful number, since it uses less digits than its factorization.

1353532411413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754643 (or 754633 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

Adding to 1353532411413 its reverse (3141142353531), we get a palindrome (4494674764944).

The spelling of 1353532411413 in words is "one trillion, three hundred fifty-three billion, five hundred thirty-two million, four hundred eleven thousand, four hundred thirteen".