41253265881 has 27 divisors (see below), whose sum is σ = 60422382111. Its totient is φ = 27122363424.

The previous prime is 41253265853. The next prime is 41253265901. The reversal of 41253265881 is 18856235214.

The square root of 41253265881 is 203109.

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

41253265881 is a `hidden beast` number, since 4 + 12 + 53 + 2 + 6 + 588 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38230025625 + 3023240256 = 195525^2 + 54984^2 .

It is not a de Polignac number, because 41253265881 - 2⁹ = 41253265369 is a prime.

It is a super-2 number, since 2×41253265881² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41253265811) 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 26 ways as a sum of consecutive naturals, for example, 48136405 + ... + 48137261.

Almost surely, 2^41253265881 is an apocalyptic number.

41253265881 is the 203109-th square number.

41253265881 is the 101555-th centered octagonal number.

It is an amenable number.

41253265881 is a deficient number, since it is larger than the sum of its proper divisors (19169116230).

41253265881 is an frugal number, since it uses more digits than its factorization.

41253265881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 939 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 41253265881 in words is "forty-one billion, two hundred fifty-three million, two hundred sixty-five thousand, eight hundred eighty-one".