830823135025 has 81 divisors (see below), whose sum is σ = 1149562804131. Its totient is φ = 595373950080.

The previous prime is 830823135007. The next prime is 830823135029. The reversal of 830823135025 is 520531328038.

The square root of 830823135025 is 911495.

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

It can be written as a sum of positive squares in 13 ways, for example, as 479463459489 + 351359675536 = 692433^2 + 592756^2 .

It is not a de Polignac number, because 830823135025 - 2³⁵ = 796463396657 is a prime.

It is a super-3 number, since 3×830823135025³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (830823135029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2192145286 + ... + 2192145664.

Almost surely, 2^830823135025 is an apocalyptic number.

830823135025 is the 911495-th square number.

830823135025 is the 455748-th centered octagonal number.

It is an amenable number.

830823135025 is a deficient number, since it is larger than the sum of its proper divisors (318739669106).

830823135025 is an equidigital number, since it uses as much as digits as its factorization.

830823135025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 830823135025 in words is "eight hundred thirty billion, eight hundred twenty-three million, one hundred thirty-five thousand, twenty-five".