830078513 has 24 divisors (see below), whose sum is σ = 948901800. Its totient is φ = 724711680.

The previous prime is 830078507. The next prime is 830078539. The reversal of 830078513 is 315870038.

It can be written as a sum of positive squares in 4 ways, for example, as 560363584 + 269714929 = 23672^2 + 16423^2 .

It is not a de Polignac number, because 830078513 - 2⁶ = 830078449 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (830078503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 803045 + ... + 804077.

It is an arithmetic number, because the mean of its divisors is an integer number (39537575).

Almost surely, 2^830078513 is an apocalyptic number.

It is an amenable number.

830078513 is a deficient number, since it is larger than the sum of its proper divisors (118823287).

830078513 is a wasteful number, since it uses less digits than its factorization.

830078513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 830078513 is about 28811.0831625609. The cubic root of 830078513 is about 939.8092690585.

The spelling of 830078513 in words is "eight hundred thirty million, seventy-eight thousand, five hundred thirteen".