29205972105025 has 9 divisors (see below), whose sum is σ = 36215438916643. Its totient is φ = 23364756067000.

The previous prime is 29205972105017. The next prime is 29205972105031. The reversal of 29205972105025 is 52050127950292.

The square root of 29205972105025 is 5404255.

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., 10514149957809 + 18691822147216 = 3242553^2 + 4323404^2 .

It is not a de Polignac number, because 29205972105025 - 2³ = 29205972105017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 29205972105025.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26480850 + ... + 27561700.

Almost surely, 2^{29205972105025} is an apocalyptic number.

29205972105025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29205972105025 is the 5404255-th square number.

29205972105025 is the 2702128-th centered octagonal number.

It is an amenable number.

29205972105025 is a deficient number, since it is larger than the sum of its proper divisors (7009466811618).

29205972105025 is an frugal number, since it uses more digits than its factorization.

29205972105025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161712 (or 1080856 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 49.

The spelling of 29205972105025 in words is "twenty-nine trillion, two hundred five billion, nine hundred seventy-two million, one hundred five thousand, twenty-five".