13106459024505 has 640 divisors, whose sum is σ = 30586647168000. Its totient is φ = 5212267315200.

The previous prime is 13106459024467. The next prime is 13106459024539. The reversal of 13106459024505 is 50542095460131.

It is a happy number.

13106459024505 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 6 + 4 + 590 + 2 + 4 + 50 + 5 = 666.

It is not a de Polignac number, because 13106459024505 - 2¹² = 13106459020409 is a prime.

It is a super-2 number, since 2×13106459024505² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 16955315299 + ... + 16955316071.

It is an arithmetic number, because the mean of its divisors is an integer number (47791636200).

Almost surely, 2^{13106459024505} is an apocalyptic number.

13106459024505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13106459024505 is an abundant number, since it is smaller than the sum of its proper divisors (17480188143495).

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

13106459024505 is a wasteful number, since it uses less digits than its factorization.

13106459024505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 13106459024505 in words is "thirteen trillion, one hundred six billion, four hundred fifty-nine million, twenty-four thousand, five hundred five".