13198563225 has 189 divisors, whose sum is σ = 26363379693. Its totient is φ = 6551202240.

The previous prime is 13198563211. The next prime is 13198563277. The reversal of 13198563225 is 52236589131.

The square root of 13198563225 is 114885.

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

13198563225 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 8 + 5 + 632 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1252947609 + 11945615616 = 35397^2 + 109296^2 .

It is not a de Polignac number, because 13198563225 - 2⁷ = 13198563097 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 356717907 + ... + 356717943.

Almost surely, 2^13198563225 is an apocalyptic number.

13198563225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13198563225 is the 114885-th square number.

13198563225 is the 57443-rd centered octagonal number.

It is an amenable number.

13198563225 is a deficient number, since it is larger than the sum of its proper divisors (13164816468).

13198563225 is an frugal number, since it uses more digits than its factorization.

13198563225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 68 counting only the distinct ones).

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

The spelling of 13198563225 in words is "thirteen billion, one hundred ninety-eight million, five hundred sixty-three thousand, two hundred twenty-five".