13534919505 has 64 divisors (see below), whose sum is σ = 24410419200. Its totient is φ = 7114461120.

The previous prime is 13534919501. The next prime is 13534919507. The reversal of 13534919505 is 50591943531.

13534919505 is a `hidden beast` number, since 1 + 3 + 53 + 4 + 91 + 9 + 505 = 666.

It is not a de Polignac number, because 13534919505 - 2² = 13534919501 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (13534919501) 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, 10355062 + ... + 10356368.

It is an arithmetic number, because the mean of its divisors is an integer number (381412800).

Almost surely, 2^13534919505 is an apocalyptic number.

13534919505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13534919505 is a deficient number, since it is larger than the sum of its proper divisors (10875499695).

13534919505 is a wasteful number, since it uses less digits than its factorization.

13534919505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 13534919505 in words is "thirteen billion, five hundred thirty-four million, nine hundred nineteen thousand, five hundred five".