29986117225 has 27 divisors (see below), whose sum is σ = 37888229047. Its totient is φ = 23542128080.

The previous prime is 29986117223. The next prime is 29986117229. The reversal of 29986117225 is 52271168992.

The square root of 29986117225 is 173165.

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

It can be written as a sum of positive squares in only one way, i.e., 10795002201 + 19191115024 = 103899^2 + 138532^2 .

It is not a de Polignac number, because 29986117225 - 2¹ = 29986117223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29986117223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51083382 + ... + 51083968.

Almost surely, 2^29986117225 is an apocalyptic number.

29986117225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29986117225 is the 173165-th square number.

29986117225 is the 86583-rd centered octagonal number.

It is an amenable number.

29986117225 is a deficient number, since it is larger than the sum of its proper divisors (7902111822).

29986117225 is an frugal number, since it uses more digits than its factorization.

29986117225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 651 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 52.

The spelling of 29986117225 in words is "twenty-nine billion, nine hundred eighty-six million, one hundred seventeen thousand, two hundred twenty-five".