5825200329 has 81 divisors (see below), whose sum is σ = 9710252487. Its totient is φ = 3363096672.

The previous prime is 5825200309. The next prime is 5825200343. The reversal of 5825200329 is 9230025285.

The square root of 5825200329 is 76323.

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

5825200329 is a `hidden beast` number, since 582 + 52 + 0 + 0 + 3 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 861716025 + 4963484304 = 29355^2 + 70452^2 .

It is not a de Polignac number, because 5825200329 - 2²⁷ = 5690982601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5825200293 and 5825200302.

It is not an unprimeable number, because it can be changed into a prime (5825200309) 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, 56555292 + ... + 56555394.

Almost surely, 2^5825200329 is an apocalyptic number.

5825200329 is the 76323-rd square number.

5825200329 is the 38162-nd centered octagonal number.

It is an amenable number.

5825200329 is a deficient number, since it is larger than the sum of its proper divisors (3885052158).

5825200329 is a wasteful number, since it uses less digits than its factorization.

5825200329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The cubic root of 5825200329 is about 1799.3001733182.

Multiplying 5825200329 by its sum of digits (36), we get a square (209707211844 = 457938²).

The spelling of 5825200329 in words is "five billion, eight hundred twenty-five million, two hundred thousand, three hundred twenty-nine".