29095830625 has 15 divisors (see below), whose sum is σ = 36363479493. Its totient is φ = 23273253000.

The previous prime is 29095830613. The next prime is 29095830689. The reversal of 29095830625 is 52603859092.

It is a happy number.

The square root of 29095830625 is 170575.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2281113121 + 26814717504 = 47761^2 + 163752^2 .

It is not a de Polignac number, because 29095830625 - 2⁵ = 29095830593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 4260964 + ... + 4267786.

Almost surely, 2^29095830625 is an apocalyptic number.

29095830625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29095830625 is the 170575-th square number.

29095830625 is the 85288-th centered octagonal number.

It is an amenable number.

29095830625 is a deficient number, since it is larger than the sum of its proper divisors (7267648868).

29095830625 is an frugal number, since it uses more digits than its factorization.

29095830625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13666 (or 6828 counting only the distinct ones).

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

Multiplying 29095830625 by its sum of digits (49), we get a square (1425695700625 = 1194025²).

The spelling of 29095830625 in words is "twenty-nine billion, ninety-five million, eight hundred thirty thousand, six hundred twenty-five".