29609805625 has 15 divisors (see below), whose sum is σ = 37005789513. Its totient is φ = 23684403000.

The previous prime is 29609805583. The next prime is 29609805653. The reversal of 29609805625 is 52650890692.

It is a happy number.

The square root of 29609805625 is 172075.

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 2321408761 + 27288396864 = 48181^2 + 165192^2 .

It is not a de Polignac number, because 29609805625 - 2⁷ = 29609805497 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 (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4298434 + ... + 4305316.

Almost surely, 2^29609805625 is an apocalyptic number.

29609805625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29609805625 is the 172075-th square number.

29609805625 is the 86038-th centered octagonal number.

It is an amenable number.

29609805625 is a deficient number, since it is larger than the sum of its proper divisors (7395983888).

29609805625 is an frugal number, since it uses more digits than its factorization.

29609805625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13786 (or 6888 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 52.

The spelling of 29609805625 in words is "twenty-nine billion, six hundred nine million, eight hundred five thousand, six hundred twenty-five".