29424256225 has 135 divisors (see below), whose sum is σ = 47619962637. Its totient is φ = 17982357120.

The previous prime is 29424256223. The next prime is 29424256231. The reversal of 29424256225 is 52265242492.

It is a happy number.

The square root of 29424256225 is 171535.

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

It can be written as a sum of positive squares in 22 ways, for example, as 11406026401 + 18018229824 = 106799^2 + 134232^2 .

It is not a de Polignac number, because 29424256225 - 2¹ = 29424256223 is a prime.

Its product of digits (691200) is a multiple of the sum of its prime divisors (54).

It is not an unprimeable number, because it can be changed into a prime (29424256223) 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 134 ways as a sum of consecutive naturals, for example, 1014629511 + ... + 1014629539.

Almost surely, 2^29424256225 is an apocalyptic number.

29424256225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29424256225 is the 171535-th square number.

29424256225 is the 85768-th centered octagonal number.

It is an amenable number.

29424256225 is a deficient number, since it is larger than the sum of its proper divisors (18195706412).

29424256225 is an frugal number, since it uses more digits than its factorization.

29424256225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 54 counting only the distinct ones).

The product of its digits is 691200, while the sum is 43.

The spelling of 29424256225 in words is "twenty-nine billion, four hundred twenty-four million, two hundred fifty-six thousand, two hundred twenty-five".