29661295225 has 24 divisors (see below), whose sum is σ = 38892510720. Its totient is φ = 22403472000.

The previous prime is 29661295141. The next prime is 29661295229. The reversal of 29661295225 is 52259216692.

It is a happy number.

It is not a de Polignac number, because 29661295225 - 2²³ = 29652906617 is a prime.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (29661295229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434965 + ... + 498514.

It is an arithmetic number, because the mean of its divisors is an integer number (1620521280).

Almost surely, 2^29661295225 is an apocalyptic number.

29661295225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

29661295225 is a deficient number, since it is larger than the sum of its proper divisors (9231215495).

29661295225 is a wasteful number, since it uses less digits than its factorization.

29661295225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933561 (or 933556 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 49.

The spelling of 29661295225 in words is "twenty-nine billion, six hundred sixty-one million, two hundred ninety-five thousand, two hundred twenty-five".