13906305625 has 45 divisors (see below), whose sum is σ = 17912620033. Its totient is φ = 10792496000.

The previous prime is 13906305619. The next prime is 13906305629. The reversal of 13906305625 is 52650360931.

It is a happy number.

The square root of 13906305625 is 117925.

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

13906305625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 11927479369 + 1978826256 = 109213^2 + 44484^2 .

It is not a de Polignac number, because 13906305625 - 2³ = 13906305617 is a prime.

It is a super-2 number, since 2×13906305625² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13906305629) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 156250581 + ... + 156250669.

Almost surely, 2^13906305625 is an apocalyptic number.

13906305625 is the 117925-th square number.

13906305625 is the 58963-rd centered octagonal number.

It is an amenable number.

13906305625 is a deficient number, since it is larger than the sum of its proper divisors (4006314408).

13906305625 is an frugal number, since it uses more digits than its factorization.

13906305625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 40.

The spelling of 13906305625 in words is "thirteen billion, nine hundred six million, three hundred five thousand, six hundred twenty-five".