41977863225 has 135 divisors (see below), whose sum is σ = 81047470647. Its totient is φ = 21478504320.

The previous prime is 41977863223. The next prime is 41977863229. The reversal of 41977863225 is 52236877914.

It is a happy number.

The square root of 41977863225 is 204885.

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 33884341929 + 8093521296 = 184077^2 + 89964^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 41977863225 - 2¹ = 41977863223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41977863223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 267374847 + ... + 267375003.

Almost surely, 2^41977863225 is an apocalyptic number.

41977863225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41977863225 is the 204885-th square number.

41977863225 is the 102443-rd centered octagonal number.

It is an amenable number.

41977863225 is a deficient number, since it is larger than the sum of its proper divisors (39069607422).

41977863225 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (41977863224) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (394).

41977863225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 194 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 41977863225 in words is "forty-one billion, nine hundred seventy-seven million, eight hundred sixty-three thousand, two hundred twenty-five".