29365963225 has 9 divisors (see below), whose sum is σ = 36414856893. Its totient is φ = 23492085120.

The previous prime is 29365963223. The next prime is 29365963261. The reversal of 29365963225 is 52236956392.

The square root of 29365963225 is 171365.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3263037129 + 26102926096 = 57123^2 + 161564^2 .

It is not a de Polignac number, because 29365963225 - 2¹ = 29365963223 is a prime.

It is a super-2 number, since 2×29365963225² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29365963223) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 839689 + ... + 873961.

Almost surely, 2^29365963225 is an apocalyptic number.

29365963225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29365963225 is the 171365-th square number.

29365963225 is the 85683-rd centered octagonal number.

It is an amenable number.

29365963225 is a deficient number, since it is larger than the sum of its proper divisors (7048893668).

29365963225 is an frugal number, since it uses more digits than its factorization.

29365963225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68556 (or 34278 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 52.

The spelling of 29365963225 in words is "twenty-nine billion, three hundred sixty-five million, nine hundred sixty-three thousand, two hundred twenty-five".