29818862242225 has 27 divisors (see below), whose sum is σ = 43012463101227. Its totient is φ = 20447088767280.

The previous prime is 29818862242219. The next prime is 29818862242229. The reversal of 29818862242225 is 52224226881892.

The square root of 29818862242225 is 5460665.

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., 10734790407201 + 19084071835024 = 3276399^2 + 4368532^2 .

It is not a de Polignac number, because 29818862242225 - 2¹⁵ = 29818862209457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29818862242229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 191045266 + ... + 191201284.

Almost surely, 2^{29818862242225} is an apocalyptic number.

29818862242225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29818862242225 is the 5460665-th square number.

29818862242225 is the 2730333-rd centered octagonal number.

It is an amenable number.

29818862242225 is a deficient number, since it is larger than the sum of its proper divisors (13193600859002).

29818862242225 is an frugal number, since it uses more digits than its factorization.

29818862242225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312062 (or 156031 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 61.

The spelling of 29818862242225 in words is "twenty-nine trillion, eight hundred eighteen billion, eight hundred sixty-two million, two hundred forty-two thousand, two hundred twenty-five".