13505240412 has 72 divisors (see below), whose sum is σ = 34325587296. Its totient is φ = 4477106304.

The previous prime is 13505240407. The next prime is 13505240431. The reversal of 13505240412 is 21404250531.

13505240412 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 5 + 240 + 412 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10575118 + ... + 10576394.

It is an arithmetic number, because the mean of its divisors is an integer number (476744268).

Almost surely, 2^13505240412 is an apocalyptic number.

13505240412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13505240412 is an abundant number, since it is smaller than the sum of its proper divisors (20820346884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13505240412 is a wasteful number, since it uses less digits than its factorization.

13505240412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 13505240412 its reverse (21404250531), we get a palindrome (34909490943).

The spelling of 13505240412 in words is "thirteen billion, five hundred five million, two hundred forty thousand, four hundred twelve".