29657881269025 has 27 divisors (see below), whose sum is σ = 36922112732011. Its totient is φ = 23632265127680.

The previous prime is 29657881269001. The next prime is 29657881269031. The reversal of 29657881269025 is 52096218875692.

The square root of 29657881269025 is 5445905.

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 28986949906209 + 670931362816 = 5383953^2 + 819104^2 .

It is not a de Polignac number, because 29657881269025 - 2²³ = 29657872880417 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 (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7324740201 + ... + 7324744249.

Almost surely, 2^{29657881269025} is an apocalyptic number.

29657881269025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29657881269025 is the 5445905-th square number.

29657881269025 is the 2722953-rd centered octagonal number.

It is an amenable number.

29657881269025 is a deficient number, since it is larger than the sum of its proper divisors (7264231462986).

29657881269025 is an frugal number, since it uses more digits than its factorization.

29657881269025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8646 (or 4323 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 70.

The spelling of 29657881269025 in words is "twenty-nine trillion, six hundred fifty-seven billion, eight hundred eighty-one million, two hundred sixty-nine thousand, twenty-five".