13540053006 has 24 divisors (see below), whose sum is σ = 29343006264. Its totient is φ = 4512393360.

The previous prime is 13540052987. The next prime is 13540053013. The reversal of 13540053006 is 60035004531.

13540053006 is a `hidden beast` number, since 1 + 354 + 0 + 0 + 5 + 300 + 6 = 666.

It is a super-4 number, since 4×13540053006⁴ (a number of 42 digits) contains 4444 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10125 + ... + 164871.

It is an arithmetic number, because the mean of its divisors is an integer number (1222625261).

Almost surely, 2^13540053006 is an apocalyptic number.

13540053006 is an abundant number, since it is smaller than the sum of its proper divisors (15802953258).

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

13540053006 is a wasteful number, since it uses less digits than its factorization.

13540053006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159616 (or 159613 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 13540053006 its reverse (60035004531), we get a palindrome (73575057537).

The spelling of 13540053006 in words is "thirteen billion, five hundred forty million, fifty-three thousand, six".