13503305012505 has 64 divisors (see below), whose sum is σ = 28107613605888. Its totient is φ = 5367773410560.

The previous prime is 13503305012501. The next prime is 13503305012563. The reversal of 13503305012505 is 50521050330531.

It is a happy number.

It is not a de Polignac number, because 13503305012505 - 2² = 13503305012501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13503305012501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254129374 + ... + 254182503.

It is an arithmetic number, because the mean of its divisors is an integer number (439181462592).

Almost surely, 2^{13503305012505} is an apocalyptic number.

13503305012505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13503305012505 is an abundant number, since it is smaller than the sum of its proper divisors (14604308593383).

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

13503305012505 is a wasteful number, since it uses less digits than its factorization.

13503305012505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508311926.

The product of its (nonzero) digits is 33750, while the sum is 33.

The spelling of 13503305012505 in words is "thirteen trillion, five hundred three billion, three hundred five million, twelve thousand, five hundred five".