29135759040025 has 243 divisors, whose sum is σ = 44274938834749. Its totient is φ = 19000097600000.

The previous prime is 29135759040019. The next prime is 29135759040043. The reversal of 29135759040025 is 52004095753192.

It is a happy number.

The square root of 29135759040025 is 5397755.

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 681514640521 + 28454244399504 = 825539^2 + 5334252^2 .

It is not a de Polignac number, because 29135759040025 - 2⁵ = 29135759039993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 116078721150 + ... + 116078721400.

Almost surely, 2^{29135759040025} is an apocalyptic number.

29135759040025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29135759040025 is the 5397755-th square number.

29135759040025 is the 2698878-th centered octagonal number.

It is an amenable number.

29135759040025 is a deficient number, since it is larger than the sum of its proper divisors (15139179794724).

29135759040025 is a wasteful number, since it uses less digits than its factorization.

29135759040025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 52.

The spelling of 29135759040025 in words is "twenty-nine trillion, one hundred thirty-five billion, seven hundred fifty-nine million, forty thousand, twenty-five".