83830516225 has 27 divisors (see below), whose sum is σ = 105426144873. Its totient is φ = 66125161440.

The previous prime is 83830516207. The next prime is 83830516241. The reversal of 83830516225 is 52261503838.

The square root of 83830516225 is 289535.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18960463809 + 64870052416 = 137697^2 + 254696^2 .

It is not a de Polignac number, because 83830516225 - 2⁵ = 83830516193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 114365959 + ... + 114366691.

Almost surely, 2^83830516225 is an apocalyptic number.

83830516225 is the 289535-th square number.

83830516225 is the 144768-th centered octagonal number.

It is an amenable number.

83830516225 is a deficient number, since it is larger than the sum of its proper divisors (21595628648).

83830516225 is an frugal number, since it uses more digits than its factorization.

83830516225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 83830516225 in words is "eighty-three billion, eight hundred thirty million, five hundred sixteen thousand, two hundred twenty-five".