29287188225 has 45 divisors (see below), whose sum is σ = 54264265363. Its totient is φ = 15615726480.

The previous prime is 29287188197. The next prime is 29287188233. The reversal of 29287188225 is 52288178292.

The square root of 29287188225 is 171135.

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., 10543387761 + 18743800464 = 102681^2 + 136908^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 29287188225 - 2⁵ = 29287188193 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7699174 + ... + 7702976.

Almost surely, 2^29287188225 is an apocalyptic number.

29287188225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29287188225 is the 171135-th square number.

29287188225 is the 85568-th centered octagonal number.

It is an amenable number.

29287188225 is a deficient number, since it is larger than the sum of its proper divisors (24977077138).

29287188225 is an frugal number, since it uses more digits than its factorization.

29287188225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628 (or 3811 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 29287188225 in words is "twenty-nine billion, two hundred eighty-seven million, one hundred eighty-eight thousand, two hundred twenty-five".