825412900 has 135 divisors (see below), whose sum is σ = 2061258479. Its totient is φ = 286840320.

The previous prime is 825412871. The next prime is 825412901. The reversal of 825412900 is 9214528.

The square root of 825412900 is 28730.

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

It can be written as a sum of positive squares in 22 ways, for example, as 540748516 + 284664384 = 23254^2 + 16872^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825412901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 48553692 + ... + 48553708.

Almost surely, 2^825412900 is an apocalyptic number.

825412900 is the 28730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825412900

825412900 is an abundant number, since it is smaller than the sum of its proper divisors (1235845579).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825412900 is a wasteful number, since it uses less digits than its factorization.

825412900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The cubic root of 825412900 is about 938.0451679536.

The spelling of 825412900 in words is "eight hundred twenty-five million, four hundred twelve thousand, nine hundred".