13136598225 has 81 divisors (see below), whose sum is σ = 24519471483. Its totient is φ = 6981428880.

The previous prime is 13136598217. The next prime is 13136598301. The reversal of 13136598225 is 52289563131.

The square root of 13136598225 is 114615.

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

13136598225 is a `hidden beast` number, since 1 + 3 + 1 + 36 + 598 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4729175361 + 8407422864 = 68769^2 + 91692^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 13136598225 - 2³ = 13136598217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (388800) is a multiple of the sum of its prime factors (600).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 46418934 + ... + 46419216.

Almost surely, 2^13136598225 is an apocalyptic number.

13136598225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13136598225 is the 114615-th square number.

13136598225 is the 57308-th centered octagonal number.

It is an amenable number.

13136598225 is a deficient number, since it is larger than the sum of its proper divisors (11382873258).

13136598225 is an frugal number, since it uses more digits than its factorization.

13136598225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 291 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 13136598225 in words is "thirteen billion, one hundred thirty-six million, five hundred ninety-eight thousand, two hundred twenty-five".