29965341025 has 27 divisors (see below), whose sum is σ = 37676061451. Its totient is φ = 23641988480.

The previous prime is 29965341011. The next prime is 29965341031. The reversal of 29965341025 is 52014356992.

The square root of 29965341025 is 173105.

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 29931422049 + 33918976 = 173007^2 + 5824^2 .

It is not a de Polignac number, because 29965341025 - 2¹³ = 29965332833 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 26 ways as a sum of consecutive naturals, for example, 77031531 + ... + 77031919.

Almost surely, 2^29965341025 is an apocalyptic number.

29965341025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29965341025 is the 173105-th square number.

29965341025 is the 86553-rd centered octagonal number.

It is an amenable number.

29965341025 is a deficient number, since it is larger than the sum of its proper divisors (7710720426).

29965341025 is an frugal number, since it uses more digits than its factorization.

29965341025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 46.

The spelling of 29965341025 in words is "twenty-nine billion, nine hundred sixty-five million, three hundred forty-one thousand, twenty-five".