829513201 has 6 divisors (see below), whose sum is σ = 911779106. Its totient is φ = 754102800.

The previous prime is 829513183. The next prime is 829513207. The reversal of 829513201 is 102315928.

It can be written as a sum of positive squares in only one way, i.e., 817960000 + 11553201 = 28600^2 + 3399^2 .

It is not a de Polignac number, because 829513201 - 2⁵ = 829513169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829513207) 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 5 ways as a sum of consecutive naturals, for example, 3427620 + ... + 3427861.

Almost surely, 2^829513201 is an apocalyptic number.

It is an amenable number.

829513201 is a deficient number, since it is larger than the sum of its proper divisors (82265905).

829513201 is a wasteful number, since it uses less digits than its factorization.

829513201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6855503 (or 6855492 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 829513201 is about 28801.2708226564. The cubic root of 829513201 is about 939.5958731356.

The spelling of 829513201 in words is "eight hundred twenty-nine million, five hundred thirteen thousand, two hundred one".