29389959225 has 81 divisors (see below), whose sum is σ = 57916989039. Its totient is φ = 14235962400.

The previous prime is 29389959217. The next prime is 29389959233. The reversal of 29389959225 is 52295998392.

The square root of 29389959225 is 171435.

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

29389959225 is a `hidden beast` number, since 2 + 9 + 38 + 9 + 9 + 592 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (29389959217) and next prime (29389959233).

It can be written as a sum of positive squares in only one way, i.e., 10580385321 + 18809573904 = 102861^2 + 137148^2 .

It is not a de Polignac number, because 29389959225 - 2³ = 29389959217 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 28286256 + ... + 28287294.

Almost surely, 2^29389959225 is an apocalyptic number.

29389959225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29389959225 is the 171435-th square number.

29389959225 is the 85718-th centered octagonal number.

It is an amenable number.

29389959225 is a deficient number, since it is larger than the sum of its proper divisors (28527029814).

29389959225 is a wasteful number, since it uses less digits than its factorization.

29389959225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 1058 counting only the distinct ones).

The product of its digits is 31492800, while the sum is 63.

The spelling of 29389959225 in words is "twenty-nine billion, three hundred eighty-nine million, nine hundred fifty-nine thousand, two hundred twenty-five".