43415973225 has 81 divisors (see below), whose sum is σ = 80705259973. Its totient is φ = 22310057280.

The previous prime is 43415973191. The next prime is 43415973301. The reversal of 43415973225 is 52237951434.

It is a happy number.

The square root of 43415973225 is 208365.

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

43415973225 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 597 + 32 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 596776041 + 42819197184 = 24429^2 + 206928^2 .

It is not a de Polignac number, because 43415973225 - 2⁹ = 43415972713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

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 80 ways as a sum of consecutive naturals, for example, 90638536 + ... + 90639014.

Almost surely, 2^43415973225 is an apocalyptic number.

43415973225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

43415973225 is the 208365-th square number.

43415973225 is the 104183-rd centered octagonal number.

It is an amenable number.

43415973225 is a deficient number, since it is larger than the sum of its proper divisors (37289286748).

43415973225 is an equidigital number, since it uses as much as digits as its factorization.

43415973225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 516 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 43415973225 in words is "forty-three billion, four hundred fifteen million, nine hundred seventy-three thousand, two hundred twenty-five".