13535402125 has 128 divisors (see below), whose sum is σ = 21349785600. Its totient is φ = 8354304000.

The previous prime is 13535402107. The next prime is 13535402141. The reversal of 13535402125 is 52120453531.

13535402125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13535402125 - 2¹¹ = 13535400077 is a prime.

It is a super-2 number, since 2×13535402125² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 127 ways as a sum of consecutive naturals, for example, 68707527 + ... + 68707723.

It is an arithmetic number, because the mean of its divisors is an integer number (166795200).

Almost surely, 2^13535402125 is an apocalyptic number.

It is an amenable number.

13535402125 is a deficient number, since it is larger than the sum of its proper divisors (7814383475).

13535402125 is a wasteful number, since it uses less digits than its factorization.

13535402125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 13535402125 its reverse (52120453531), we get a palindrome (65655855656).

The spelling of 13535402125 in words is "thirteen billion, five hundred thirty-five million, four hundred two thousand, one hundred twenty-five".