13435136625 has 64 divisors (see below), whose sum is σ = 23365495296. Its totient is φ = 6842880000.

The previous prime is 13435136597. The next prime is 13435136633. The reversal of 13435136625 is 52663153431.

13435136625 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 13435136625 - 2¹¹ = 13435134577 is a prime.

It is a super-2 number, since 2×13435136625² (a number of 21 digits) contains 22 as substring.

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 10357977 + ... + 10359273.

It is an arithmetic number, because the mean of its divisors is an integer number (365085864).

Almost surely, 2^13435136625 is an apocalyptic number.

13435136625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13435136625 is a deficient number, since it is larger than the sum of its proper divisors (9930358671).

13435136625 is a wasteful number, since it uses less digits than its factorization.

13435136625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2529 counting only the distinct ones).

The product of its digits is 194400, while the sum is 39.

The spelling of 13435136625 in words is "thirteen billion, four hundred thirty-five million, one hundred thirty-six thousand, six hundred twenty-five".