13535025616500 has 48 divisors (see below), whose sum is σ = 39413994599616. Its totient is φ = 3609340164000.

The previous prime is 13535025616477. The next prime is 13535025616507. The reversal of 13535025616500 is 561652053531.

It is a super-4 number, since 4×13535025616500⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13535025616507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4511673706 + ... + 4511676705.

It is an arithmetic number, because the mean of its divisors is an integer number (821124887492).

Almost surely, 2^{13535025616500} is an apocalyptic number.

13535025616500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13535025616500 is an abundant number, since it is smaller than the sum of its proper divisors (25878968983116).

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

13535025616500 is a wasteful number, since it uses less digits than its factorization.

13535025616500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9023350433 (or 9023350421 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 42.

The spelling of 13535025616500 in words is "thirteen trillion, five hundred thirty-five billion, twenty-five million, six hundred sixteen thousand, five hundred".