29355645067225 has 27 divisors (see below), whose sum is σ = 36471039540663. Its totient is φ = 23439415914240.

The previous prime is 29355645067219. The next prime is 29355645067247. The reversal of 29355645067225 is 52276054655392.

The square root of 29355645067225 is 5418085.

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

It can be written as a sum of positive squares in 13 ways, for example, as 626002187209 + 28729642880016 = 791203^2 + 5360004^2 .

It is not a de Polignac number, because 29355645067225 - 2¹⁹ = 29355644542937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27984408501 + ... + 27984409549.

Almost surely, 2^{29355645067225} is an apocalyptic number.

29355645067225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29355645067225 is the 5418085-th square number.

29355645067225 is the 2709043-rd centered octagonal number.

It is an amenable number.

29355645067225 is a deficient number, since it is larger than the sum of its proper divisors (7115394473438).

29355645067225 is an frugal number, since it uses more digits than its factorization.

29355645067225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 61.

The spelling of 29355645067225 in words is "twenty-nine trillion, three hundred fifty-five billion, six hundred forty-five million, sixty-seven thousand, two hundred twenty-five".