13505625 has 75 divisors (see below), whose sum is σ = 28438553. Its totient is φ = 6174000.

The previous prime is 13505593. The next prime is 13505641. The reversal of 13505625 is 52650531.

The square root of 13505625 is 3675.

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

13505625 is a `hidden beast` number, since 1 + 35 + 0 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1058841 + 12446784 = 1029^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 13505625 - 2⁵ = 13505593 is a prime.

It is a Duffinian number.

13505625 is a Rhonda number in base 8.

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 74 ways as a sum of consecutive naturals, for example, 1929372 + ... + 1929378.

Almost surely, 2^13505625 is an apocalyptic number.

13505625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13505625 is the 3675-th square number.

13505625 is the 1838-th centered octagonal number.

It is an amenable number.

13505625 is an abundant number, since it is smaller than the sum of its proper divisors (14932928).

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

13505625 is an frugal number, since it uses more digits than its factorization.

13505625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The cubic root of 13505625 is about 238.1432240584.

The spelling of 13505625 in words is "thirteen million, five hundred five thousand, six hundred twenty-five".