13531505625 has 225 divisors, whose sum is σ = 28367404681. Its totient is φ = 6421140000.

The previous prime is 13531505597. The next prime is 13531505629. The reversal of 13531505625 is 52650513531.

The square root of 13531505625 is 116325.

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

13531505625 is a `hidden beast` number, since 1 + 3 + 531 + 50 + 56 + 25 = 666.

13531505625 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 2 ways, for example, as 1060870041 + 12470635584 = 32571^2 + 111672^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 13531505625 - 2¹⁹ = 13530981337 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13531505625.

It is not an unprimeable number, because it can be changed into a prime (13531505629) 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 224 ways as a sum of consecutive naturals, for example, 287904352 + ... + 287904398.

Almost surely, 2^13531505625 is an apocalyptic number.

13531505625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13531505625 is the 116325-th square number.

13531505625 is the 58163-rd centered octagonal number.

It is an amenable number.

13531505625 is an abundant number, since it is smaller than the sum of its proper divisors (14835899056).

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

13531505625 is an frugal number, since it uses more digits than its factorization.

13531505625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

Multiplying 13531505625 by its sum of digits (36), we get a square (487134202500 = 697950²).

The spelling of 13531505625 in words is "thirteen billion, five hundred thirty-one million, five hundred five thousand, six hundred twenty-five".