33872562025 has 9 divisors (see below), whose sum is σ = 42003118021. Its totient is φ = 27097313440.

The previous prime is 33872562007. The next prime is 33872562029. The reversal of 33872562025 is 52026527833.

The square root of 33872562025 is 184045.

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 2488313689 + 31384248336 = 49883^2 + 177156^2 .

It is not a de Polignac number, because 33872562025 - 2²⁹ = 33335691113 is a prime.

It is a super-2 number, since 2×33872562025² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33872562029) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 901821 + ... + 938629.

Almost surely, 2^33872562025 is an apocalyptic number.

33872562025 is the 184045-th square number.

33872562025 is the 92023-rd centered octagonal number.

It is an amenable number.

33872562025 is a deficient number, since it is larger than the sum of its proper divisors (8130555996).

33872562025 is an frugal number, since it uses more digits than its factorization.

33872562025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73628 (or 36814 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

It can be divided in two parts, 3387256 and 2025, that added together give a square (3389281 = 1841²).

The spelling of 33872562025 in words is "thirty-three billion, eight hundred seventy-two million, five hundred sixty-two thousand, twenty-five".