29085597025 has 27 divisors (see below), whose sum is σ = 37727851539. Its totient is φ = 22241796720.

The previous prime is 29085597017. The next prime is 29085597113. The reversal of 29085597025 is 52079558092.

The square root of 29085597025 is 170545.

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

It can be written as a sum of positive squares in only one way, i.e., 10470814929 + 18614782096 = 102327^2 + 136436^2 .

It is not a de Polignac number, because 29085597025 - 2³ = 29085597017 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19611934 + ... + 19613416.

Almost surely, 2^29085597025 is an apocalyptic number.

29085597025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29085597025 is the 170545-th square number.

29085597025 is the 85273-rd centered octagonal number.

It is an amenable number.

29085597025 is a deficient number, since it is larger than the sum of its proper divisors (8642254514).

29085597025 is an frugal number, since it uses more digits than its factorization.

29085597025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 52.

The spelling of 29085597025 in words is "twenty-nine billion, eighty-five million, five hundred ninety-seven thousand, twenty-five".