29882308225 has 81 divisors (see below), whose sum is σ = 47484207561. Its totient is φ = 18586444800.

The previous prime is 29882308223. The next prime is 29882308283. The reversal of 29882308225 is 52280328892.

The square root of 29882308225 is 172865.

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

It can be written as a sum of positive squares in 4 ways, for example, as 26615281 + 29855692944 = 5159^2 + 172788^2 .

It is not a de Polignac number, because 29882308225 - 2¹ = 29882308223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (29882308223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 66552801 + ... + 66553249.

Almost surely, 2^29882308225 is an apocalyptic number.

29882308225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29882308225 is the 172865-th square number.

29882308225 is the 86433-rd centered octagonal number.

It is an amenable number.

29882308225 is a deficient number, since it is larger than the sum of its proper divisors (17601899336).

29882308225 is an equidigital number, since it uses as much as digits as its factorization.

29882308225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

Multiplying 29882308225 by its sum of digits (49), we get a square (1464233103025 = 1210055²).

29882308225 divided by its sum of digits (49) gives a square (609843025 = 24695²).

The spelling of 29882308225 in words is "twenty-nine billion, eight hundred eighty-two million, three hundred eight thousand, two hundred twenty-five".