29906514225 has 243 divisors, whose sum is σ = 65782764801. Its totient is φ = 13447425600.

The previous prime is 29906514203. The next prime is 29906514227. The reversal of 29906514225 is 52241560992.

The square root of 29906514225 is 172935.

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

29906514225 is a `hidden beast` number, since 29 + 90 + 6 + 514 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13775482161 + 16131032064 = 117369^2 + 127008^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 29906514225 - 2⁷ = 29906514097 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (29906514227) 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 242 ways as a sum of consecutive naturals, for example, 490270695 + ... + 490270755.

Almost surely, 2^29906514225 is an apocalyptic number.

29906514225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29906514225 is the 172935-th square number.

29906514225 is the 86468-th centered octagonal number.

It is an amenable number.

29906514225 is an abundant number, since it is smaller than the sum of its proper divisors (35876250576).

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

29906514225 is an frugal number, since it uses more digits than its factorization.

29906514225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 76 counting only the distinct ones).

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

The spelling of 29906514225 in words is "twenty-nine billion, nine hundred six million, five hundred fourteen thousand, two hundred twenty-five".