29909973025 has 9 divisors (see below), whose sum is σ = 37089438841. Its totient is φ = 23927286640.

The previous prime is 29909973011. The next prime is 29909973029. The reversal of 29909973025 is 52037990992.

The square root of 29909973025 is 172945.

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 18483218209 + 11426754816 = 135953^2 + 106896^2 .

It is not a de Polignac number, because 29909973025 - 2²⁷ = 29775755297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29909973029) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 847431 + ... + 882019.

Almost surely, 2^29909973025 is an apocalyptic number.

29909973025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29909973025 is the 172945-th square number.

29909973025 is the 86473-rd centered octagonal number.

It is an amenable number.

29909973025 is a deficient number, since it is larger than the sum of its proper divisors (7179465816).

29909973025 is an frugal number, since it uses more digits than its factorization.

29909973025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69188 (or 34594 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 55.

The spelling of 29909973025 in words is "twenty-nine billion, nine hundred nine million, nine hundred seventy-three thousand, twenty-five".