36025938025 has 243 divisors, whose sum is σ = 62841236367. Its totient is φ = 20407833600.

The previous prime is 36025938017. The next prime is 36025938029. The reversal of 36025938025 is 52083952063.

The square root of 36025938025 is 189805.

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 11737338921 + 24288599104 = 108339^2 + 155848^2 .

It is not a de Polignac number, because 36025938025 - 2³ = 36025938017 is a prime.

It is a super-2 number, since 2×36025938025² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36025938029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1242273711 + ... + 1242273739.

Almost surely, 2^36025938025 is an apocalyptic number.

36025938025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

36025938025 is the 189805-th square number.

36025938025 is the 94903-rd centered octagonal number.

It is an amenable number.

36025938025 is a deficient number, since it is larger than the sum of its proper divisors (26815298342).

36025938025 is a wasteful number, since it uses less digits than its factorization.

36025938025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 36025938025 in words is "thirty-six billion, twenty-five million, nine hundred thirty-eight thousand, twenty-five".