830166988225 has 27 divisors (see below), whose sum is σ = 1037210291593. Its totient is φ = 659136926240.

The previous prime is 830166988213. The next prime is 830166988237. The reversal of 830166988225 is 522889661038.

The square root of 830166988225 is 911135.

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

830166988225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (830166988213) and next prime (830166988237).

It can be written as a sum of positive squares in 4 ways, for example, as 247766013121 + 582400975104 = 497761^2 + 763152^2 .

It is a de Polignac number, because none of the positive numbers 2^k-830166988225 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 830166988225.

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, 678794964 + ... + 678796186.

Almost surely, 2^830166988225 is an apocalyptic number.

830166988225 is the 911135-th square number.

830166988225 is the 455568-th centered octagonal number.

It is an amenable number.

830166988225 is a deficient number, since it is larger than the sum of its proper divisors (207043303368).

830166988225 is an frugal number, since it uses more digits than its factorization.

830166988225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 58.

The spelling of 830166988225 in words is "eight hundred thirty billion, one hundred sixty-six million, nine hundred eighty-eight thousand, two hundred twenty-five".