13535142510 has 32 divisors (see below), whose sum is σ = 32941873152. Its totient is φ = 3558534560.

The previous prime is 13535142473. The next prime is 13535142529. The reversal of 13535142510 is 1524153531.

13535142510 is nontrivially palindromic in base 9.

13535142510 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3175134 + ... + 3179393.

It is an arithmetic number, because the mean of its divisors is an integer number (1029433536).

Almost surely, 2^13535142510 is an apocalyptic number.

13535142510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13535142510 is an abundant number, since it is smaller than the sum of its proper divisors (19406730642).

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

13535142510 is a wasteful number, since it uses less digits than its factorization.

13535142510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6354608.

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 13535142510 in words is "thirteen billion, five hundred thirty-five million, one hundred forty-two thousand, five hundred ten".