13965330625 has 45 divisors (see below), whose sum is σ = 18185149983. Its totient is φ = 10720836000.

The previous prime is 13965330607. The next prime is 13965330637. The reversal of 13965330625 is 52603356931.

The square root of 13965330625 is 118175.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 10445044401 + 3520286224 = 102201^2 + 59332^2 .

It is not a de Polignac number, because 13965330625 - 2²³ = 13956942017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 85676794 + ... + 85676956.

Almost surely, 2^13965330625 is an apocalyptic number.

13965330625 is the 118175-th square number.

13965330625 is the 59088-th centered octagonal number.

It is an amenable number.

13965330625 is a deficient number, since it is larger than the sum of its proper divisors (4219819358).

13965330625 is an frugal number, since it uses more digits than its factorization.

13965330625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 43.

The spelling of 13965330625 in words is "thirteen billion, nine hundred sixty-five million, three hundred thirty thousand, six hundred twenty-five".