29606364225 has 27 divisors (see below), whose sum is σ = 53032911139. Its totient is φ = 15788684400.

The previous prime is 29606364181. The next prime is 29606364247. The reversal of 29606364225 is 52246360692.

The square root of 29606364225 is 172065.

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

29606364225 is a `hidden beast` number, since 2 + 9 + 6 + 0 + 636 + 4 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10658291121 + 18948073104 = 103239^2 + 137652^2 .

It is not a de Polignac number, because 29606364225 - 2⁷ = 29606364097 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2575240 + ... + 2586710.

Almost surely, 2^29606364225 is an apocalyptic number.

29606364225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29606364225 is the 172065-th square number.

29606364225 is the 86033-rd centered octagonal number.

It is an amenable number.

29606364225 is a deficient number, since it is larger than the sum of its proper divisors (23426546914).

29606364225 is an frugal number, since it uses more digits than its factorization.

29606364225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22958 (or 11479 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 29606364225 in words is "twenty-nine billion, six hundred six million, three hundred sixty-four thousand, two hundred twenty-five".