41259765625 has 39 divisors (see below), whose sum is σ = 55847167923. Its totient is φ = 30468750000.

The previous prime is 41259765623. The next prime is 41259765641. The reversal of 41259765625 is 52656795214.

It is a happy number.

The square root of 41259765625 is 203125.

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

It can be written as a sum of positive squares in 19 ways, for example, as 33239488489 + 8020277136 = 182317^2 + 89556^2 .

It is not a de Polignac number, because 41259765625 - 2¹ = 41259765623 is a prime.

It is a Duffinian number.

Its product of digits (4536000) is a multiple of the sum of its prime divisors (18).

It is not an unprimeable number, because it can be changed into a prime (41259765623) 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 38 ways as a sum of consecutive naturals, for example, 3173828119 + ... + 3173828131.

Almost surely, 2^41259765625 is an apocalyptic number.

41259765625 is the 203125-th square number.

41259765625 is the 101563-rd centered octagonal number.

It is an amenable number.

41259765625 is a deficient number, since it is larger than the sum of its proper divisors (14587402298).

41259765625 is an frugal number, since it uses more digits than its factorization.

41259765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 18 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 52.

The spelling of 41259765625 in words is "forty-one billion, two hundred fifty-nine million, seven hundred sixty-five thousand, six hundred twenty-five".