83709050040225 has 45 divisors (see below), whose sum is σ = 155058859782057. Its totient is φ = 44644607105760.

The previous prime is 83709050040223. The next prime is 83709050040337. The reversal of 83709050040225 is 52204005090738.

The square root of 83709050040225 is 9149265.

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

83709050040225 is a `hidden beast` number, since 8 + 37 + 0 + 90 + 500 + 4 + 0 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4111676786529 + 79597373253696 = 2027727^2 + 8921736^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 83709050040225 - 2¹ = 83709050040223 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (83709050040223) 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 44 ways as a sum of consecutive naturals, for example, 411615267 + ... + 411818583.

Almost surely, 2^{83709050040225} is an apocalyptic number.

83709050040225 is the 9149265-th square number.

83709050040225 is the 4574633-rd centered octagonal number.

It is an amenable number.

83709050040225 is a deficient number, since it is larger than the sum of its proper divisors (71349809741832).

83709050040225 is an frugal number, since it uses more digits than its factorization.

83709050040225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406656 (or 203325 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 83709050040225 in words is "eighty-three trillion, seven hundred nine billion, fifty million, forty thousand, two hundred twenty-five".