29133369225 has 45 divisors (see below), whose sum is σ = 53979301893. Its totient is φ = 15533700480.

The previous prime is 29133369211. The next prime is 29133369227. The reversal of 29133369225 is 52296333192.

It is a happy number.

The square root of 29133369225 is 170685.

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

29133369225 is a `hidden beast` number, since 2 + 91 + 3 + 336 + 9 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6391522809 + 22741846416 = 79947^2 + 150804^2 .

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

It is not a de Polignac number, because 29133369225 - 2²¹ = 29131272073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (29133369227) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7678929 + ... + 7682721.

Almost surely, 2^29133369225 is an apocalyptic number.

29133369225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29133369225 is the 170685-th square number.

29133369225 is the 85343-rd centered octagonal number.

It is an amenable number.

29133369225 is a deficient number, since it is larger than the sum of its proper divisors (24845932668).

29133369225 is an frugal number, since it uses more digits than its factorization.

29133369225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7608 (or 3801 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The spelling of 29133369225 in words is "twenty-nine billion, one hundred thirty-three million, three hundred sixty-nine thousand, two hundred twenty-five".