41085263025 has 27 divisors (see below), whose sum is σ = 73593717249. Its totient is φ = 21910518720.

The previous prime is 41085262987. The next prime is 41085263159. The reversal of 41085263025 is 52036258014.

The square root of 41085263025 is 202695.

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

41085263025 is a `hidden beast` number, since 4 + 10 + 8 + 5 + 2 + 630 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 534580641 + 40550682384 = 23121^2 + 201372^2 .

It is not a de Polignac number, because 41085263025 - 2⁹ = 41085262513 is a prime.

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, 3033669 + ... + 3047181.

Almost surely, 2^41085263025 is an apocalyptic number.

41085263025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41085263025 is the 202695-th square number.

41085263025 is the 101348-th centered octagonal number.

It is an amenable number.

41085263025 is a deficient number, since it is larger than the sum of its proper divisors (32508454224).

41085263025 is an frugal number, since it uses more digits than its factorization.

41085263025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27042 (or 13521 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 41085263025 by its sum of digits (36), we get a square (1479069468900 = 1216170²).

The spelling of 41085263025 in words is "forty-one billion, eighty-five million, two hundred sixty-three thousand, twenty-five".