2036265625 has 35 divisors (see below), whose sum is σ = 2686703891. Its totient is φ = 1543275000.

The previous prime is 2036265619. The next prime is 2036265629. The reversal of 2036265625 is 5265626302.

The square root of 2036265625 is 45125.

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

It can be written as a sum of positive squares in 3 ways, for example, as 1783964169 + 252301456 = 42237^2 + 15884^2 .

It is not a de Polignac number, because 2036265625 - 2¹⁷ = 2036134553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2036265629) 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 34 ways as a sum of consecutive naturals, for example, 107171866 + ... + 107171884.

Almost surely, 2^2036265625 is an apocalyptic number.

2036265625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2036265625 is the 45125-th square number.

2036265625 is the 22563-rd centered octagonal number.

It is an amenable number.

2036265625 is a deficient number, since it is larger than the sum of its proper divisors (650438266).

2036265625 is an frugal number, since it uses more digits than its factorization.

2036265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The cubic root of 2036265625 is about 1267.4907831429.

Multiplying 2036265625 by its product of nonzero digits (129600), we get a square (263900025000000 = 16245000²).

The spelling of 2036265625 in words is "two billion, thirty-six million, two hundred sixty-five thousand, six hundred twenty-five".